BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Alberto Elduque (University of Zaragoza\, Spain)
DTSTART;VALUE=DATE-TIME:20230109T150000Z
DTEND;VALUE=DATE-TIME:20230109T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/1
DESCRIPTION:Title: Te
nsor categories\, algebras\, and superalgebras\nby Alberto Elduque (Un
iversity of Zaragoza\, Spain) as part of European Non-Associative Algebra
Seminar\n\n\nAbstract\nAfter reviewing the basic definitions of tensor cat
egories and the notion of semisimplification of symmetric tensor categorie
s\, it will be shown how the semisimplification of the category of represe
ntations of the cyclic group of order 3 over a field of characteristic 3 i
s naturally equivalent to the category of vector superspaces over this fie
ld. This allows to define a superalgebra starting with any algebra endowed
with an order 3 automorphism. As a noteworthy example\, the exceptional c
omposition superalgebras will be obtained\, in a systematic way\, from the
split octonion algebra.\n
LOCATION:https://researchseminars.org/talk/ENAAS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Seidon Alsaody (Uppsala University\, Sweden)
DTSTART;VALUE=DATE-TIME:20230116T150000Z
DTEND;VALUE=DATE-TIME:20230116T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/2
DESCRIPTION:Title: Br
own algebras\, Freudenthal triple systems and exceptional groups over ring
s\nby Seidon Alsaody (Uppsala University\, Sweden) as part of European
Non-Associative Algebra Seminar\n\n\nAbstract\nExceptional algebraic grou
ps are intimately related to various classes of non-associative algebras:
for example\, octonion algebras are related to groups of type $G_2$ and $D
_4$\, and Albert algebras to groups of type $F_4$ and $E_6$. This can be u
sed\, on the one hand\, to give concrete descriptions of homogeneous space
s under these groups and\, on the other hand\, to parametrize isotopes of
these algebras using said homogeneous spaces. The key tools are provided b
y the machinery of torsors and faithfully flat descent\, working over arbi
trary commutative rings (sometimes assuming 2 and 3 to be invertible).\n\n
I will talk about recent work where we do this from Brown algebras and the
ir associated Freudenthal triple systems\, whose automorphism groups are o
f type $E_6$ and $E_7$\, respectively. I will hopefully be able to show ho
w algebraic and geometric properties come together in this picture.\n
LOCATION:https://researchseminars.org/talk/ENAAS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Karel Dekimpe (Catholic University of Leuven\, Belgium)
DTSTART;VALUE=DATE-TIME:20230123T150000Z
DTEND;VALUE=DATE-TIME:20230123T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/3
DESCRIPTION:Title: Di
-semisimple Lie algebras and applications in post-Lie algebra structures\nby Karel Dekimpe (Catholic University of Leuven\, Belgium) as part of
European Non-Associative Algebra Seminar\n\n\nAbstract\nWe call a Lie alge
bra $\\mathfrak g$ di-semisimple if it can be written as a vector space su
m $\\mathfrak g = \\mathfrak s_1 + \\mathfrak s_2$\, where $\\mathfrak s_1
$ and $\\mathfrak s_2$ are semisimple subalgebras of $\\mathfrak g$ and we
say that $\\mathfrak g$ is strongly di-semisimple if $\\mathfrak g$ can
be written as a direct vector space sum of semisimple subalgebras. We will
show that complex strongly di-semisimple Lie algebras have to be semisimp
le themselves. \n\nWe will then use this result to show that if a pair of
complex Lie algebras $(\\mathfrak g\, \\mathfrak n)$ with $\\mathfrak g$ s
emisimple admits a so called post-Lie algebra structure\, then \n$\\mathfr
ak n$ must be isomorphic to $\\mathfrak g$. \n\nJoint work with Dietrich B
urde and Mina Monadjem.\n
LOCATION:https://researchseminars.org/talk/ENAAS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Towers (Lancaster University\, UK)
DTSTART;VALUE=DATE-TIME:20230130T150000Z
DTEND;VALUE=DATE-TIME:20230130T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/4
DESCRIPTION:Title: Zi
nbiel algebras are nilpotent\nby David Towers (Lancaster University\,
UK) as part of European Non-Associative Algebra Seminar\n\n\nAbstract\nZin
biel algebras were introduced by Loday in 1995. They are the Koszul dual o
f Leibniz algebras and Lemaire proposed the name of Zinbiel\, which is obt
ained by writing Leibniz backwards. In this talk\, I will introduce some o
f their main properties\, including the fact that\, over any field\, they
are nilpotent.\n
LOCATION:https://researchseminars.org/talk/ENAAS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Clara Franchi (Catholic University of the Sacred Heart\, Italy)
DTSTART;VALUE=DATE-TIME:20230206T150000Z
DTEND;VALUE=DATE-TIME:20230206T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/5
DESCRIPTION:Title: Ax
ial algebras of Monster type\nby Clara Franchi (Catholic University of
the Sacred Heart\, Italy) as part of European Non-Associative Algebra Sem
inar\n\n\nAbstract\nExtending earlier work by Ivanov on Majorana algebras\
, axial algebras of Monster type were introduced in 2015 by Hall\, Rehren
and Shpectorov in order to axiomatise some key features of certain classes
of algebras related to large families of finite simple groups\, such as t
he weight-2 components of OZ-type vertex operator algebras\, Jordan algebr
as\, and Matsuo algebras. In this talk\, I'll review the definition of axi
al algebras and the major examples. Then I'll discuss the general classifi
cation problem of the 2-generated objects and\, time permitting\, show its
applications in some special cases related to the Monster.\n
LOCATION:https://researchseminars.org/talk/ENAAS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Justin McInroy (University of Chester\, UK)
DTSTART;VALUE=DATE-TIME:20230213T150000Z
DTEND;VALUE=DATE-TIME:20230213T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/6
DESCRIPTION:Title: Cl
assifying quotients of the Highwater algebra\nby Justin McInroy (Unive
rsity of Chester\, UK) as part of European Non-Associative Algebra Seminar
\n\n\nAbstract\nAxial algebras are a class of non-associative algebras wit
h a strong natural link to groups and have recently received much attentio
n. They are generated by axes which are semisimple idempotents whose eige
nvectors multiply according to a so-called fusion law. Of primary interes
t are the axial algebras with the Monster type $(\\alpha\, \\beta)$ fusion
law\, of which the Griess algebra (with the Monster as its automorphism g
roup) is an important motivating example.\n\nBy previous work of Yabe\, an
d Franchi and Mainardis\, any symmetric 2-generated axial algebra of Monst
er type $(\\alpha\, \\beta)$ is either in one of several explicitly known
families\, or is a quotient of the infinite-dimensional Highwater algebra
$\\mathcal{H}$\, or its characteristic 5 cover $\\hat{\\mathcal{H}}$. We
complete this classification by explicitly describing the infinitely many
ideals and thus quotients of the Highwater algebra (and its cover). As a
consequence\, we find that there exist 2-generated algebras of Monster typ
e $(\\alpha\, \\beta)$ with any number of axes (rather than just $1\, 2\,
3\, 4\, 5\, 6\, \\infty$ as we knew before) and of arbitrarily large finit
e dimension.\n\n\nIn this talk\, we will begin with a reminder of axial al
gebras which were introduced last week.\n\n\nThis is joint work with:\nCla
ra Franchi\, Catholic University of the Sacred Heart\, Milan\nMario Mainar
dis\, University of Udine\n
LOCATION:https://researchseminars.org/talk/ENAAS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kenji Iohara (University of Lyon\, France)
DTSTART;VALUE=DATE-TIME:20230220T150000Z
DTEND;VALUE=DATE-TIME:20230220T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/7
DESCRIPTION:Title: On
Elliptic Root Systems\nby Kenji Iohara (University of Lyon\, France)
as part of European Non-Associative Algebra Seminar\n\n\nAbstract\nIn 1985
\, K. Saito introduced elliptic root systems as root systems belonging to
a real vector space $F$ equiped with a symmetric bilinear form $I$ with si
gnature $(l\, 2\, 0)$. Such root systems are studied in view of simply ell
iptic singularities which are surface singularities with a regular ellipti
c curve in its resolution. K. Saito had classified elliptic root systems $
R$ with its one dimensional subspace $G$ of the radical of $I$\, in the ca
se when $R/G \\subset F/G$ is a reduced affine root system. In our joint w
ork with A. Fialowski and Y. Saito\, we have completed its classification\
; we classified the pair $(R\,G)$ whose quotient $R/G \\subset F/G$ is a n
on-reduced affine root system. In this talk\, we give an overview of ellip
tic root sysems and describe some of the new root systems we have found.\n
LOCATION:https://researchseminars.org/talk/ENAAS/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dietrich Burde (University of Vienna\, Austria)
DTSTART;VALUE=DATE-TIME:20230227T150000Z
DTEND;VALUE=DATE-TIME:20230227T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/8
DESCRIPTION:Title: Pr
e-Lie algebra structures on reductive Lie algebras and etale affine repres
entations\nby Dietrich Burde (University of Vienna\, Austria) as part
of European Non-Associative Algebra Seminar\n\n\nAbstract\nEtale affine re
presentations of Lie algebras and algebraic groups arise in the context\no
f affine geometry on Lie groups\, operad theory\, deformation theory and Y
oung-Baxter equations.\nFor reductive groups\, every etale affine represen
tation is equivalent to a\nlinear representation and we obtain a special c
ase of a prehomogeneous representation.\nSuch representations have been cl
assified by Sato and Kimura in some cases. The induced\nrepresentation on
the Lie algebra level gives rise to a pre-Lie algebra structure on the\nLi
e algebra g of G. For a Lie group G\, a pre-Lie algebra structure on g cor
responds to a\nleft-invariant affine structure on G. This refers to a well
-known question by John Milnor from 1977\non the existence of complete lef
t-invariant affine structures on solvable Lie groups.\n\nWe present result
s on the existence of etale affine representations of reductive groups and
Lie algebras\nand discuss a related conjecture of V. Popov concerning fla
ttenable groups and linearizable\nsubgroups of the affine Cremona group.\n
LOCATION:https://researchseminars.org/talk/ENAAS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Willem Adriaan De Graaf (University of Trento\, Italy)
DTSTART;VALUE=DATE-TIME:20230306T150000Z
DTEND;VALUE=DATE-TIME:20230306T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/9
DESCRIPTION:Title: Co
mputing the first Galois cohomology set of a reductive algebraic group
\nby Willem Adriaan De Graaf (University of Trento\, Italy) as part of Eur
opean Non-Associative Algebra Seminar\n\n\nAbstract\nIn classification pro
blems over the real field R first Galois cohomology sets play an important
role\, as they often make it possible to classify the orbits of a real Li
e group. In this talk\, we outline an algorithm to compute the first Galoi
s cohomology set $H^1(G\,R)$ of a complex reductive algebraic group G defi
ned over the real field R. The algorithm is in a large part based on compu
tations in the Lie algebra of G. This is joint work with Mikhail Borovoi.\
n
LOCATION:https://researchseminars.org/talk/ENAAS/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adela Latorre (Polytechnic University of Madrid\, Spain)
DTSTART;VALUE=DATE-TIME:20230313T150000Z
DTEND;VALUE=DATE-TIME:20230313T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/10
DESCRIPTION:Title: S
olvable Lie algebras with complex symplectic structures\nby Adela Lato
rre (Polytechnic University of Madrid\, Spain) as part of European Non-Ass
ociative Algebra Seminar\n\n\nAbstract\nLet $\\mathfrak g$ be a $2n$-dimen
sional solvable Lie algebra. A complex structure on $\\mathfrak g$ is an e
ndomorphism $J$ that satisfies $J^2=-Id$ and $N_J(X\,Y)=0$\, for every $X\
,Y\\in\\mathfrak g$\, being\n$$N_J(X\,Y):=[X\,Y]+J[JX\,Y]+J[X\,JY]-[JX\,JY
].$$ \nSuppose that $\\mathfrak g$ simultaneously admits a complex structu
re $J$ and a symplectic structure $\\omega$ (i.e.\, a closed $2$-form $\\o
mega\\in\\wedge^2\\mathfrak g^*$ such that $\\omega^n\\neq 0$). \nAlthough
$J$ and $\\omega$ are initially two unrelated structures\, one can ask fo
r an additional condition involving both of them.\nIn this sense\, the pai
r $(J\,\\omega)$ is said to be a complex symplectic structure if $J$ is sy
mmetric with respect to $\\omega$\, in the sense that $\\omega(JX\,Y)=\\om
ega(X\,JY)$\, for every $X\,Y\\in\\mathfrak g$.\nIn this talk\, we will pr
esent some methods to find certain types of solvable Lie algebras (such as
nilpotent or almost Abelian) admitting complex symplectic structures.\n
LOCATION:https://researchseminars.org/talk/ENAAS/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Duc-Khanh Nguyen (University at Albany\, USA)
DTSTART;VALUE=DATE-TIME:20230320T150000Z
DTEND;VALUE=DATE-TIME:20230320T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/11
DESCRIPTION:Title: A
generalization of the Murnaghan-Nakayama rule for K-k-Schur and k-Schur f
unctions\nby Duc-Khanh Nguyen (University at Albany\, USA) as part of
European Non-Associative Algebra Seminar\n\n\nAbstract\nWe introduce a gen
eralization of K-k-Schur functions and k-Schur functions via the Pieri rul
e. Then we obtain the Murnaghan-Nakayama rule for the generalized function
s. The rule are described explicitly in the cases of K-k-Schur functions a
nd k-Schur functions\, with concrete descriptions and algorithms for coeff
icients. Our work recovers the result of Bandlow\, Schilling\, and Zabrock
i for k-Schur functions\, and explains it as a degeneration of the rule fo
r K-k-Schur functions. In particular\, many other special cases promise to
be detailed in the future.\n
LOCATION:https://researchseminars.org/talk/ENAAS/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hamid Usefi (Memorial University of Newfoundland\, Canada)
DTSTART;VALUE=DATE-TIME:20230327T150000Z
DTEND;VALUE=DATE-TIME:20230327T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/12
DESCRIPTION:Title: P
olynomial identities\, group rings and enveloping algebras\nby Hamid U
sefi (Memorial University of Newfoundland\, Canada) as part of European No
n-Associative Algebra Seminar\n\n\nAbstract\nI will talk about the develop
ment of the theory of polynomial identities initiated by important questio
ns such as Burnside's asking if every finitely generated torsion group
is finite. The field was enriched by contributions of many great mathemati
cians. Most notably Lie rings methods were developed and used by Zelmanov
in the 1990s to give a positive solution to the restricted Burnside probl
em which awarded him the Fields medal. It has been of great interest to ex
pand the theory to other varieties of algebraic structures. In particular\
, I will review when a group algebra or enveloping algebra satisfy a polyn
omial identity.\n
LOCATION:https://researchseminars.org/talk/ENAAS/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Maxime Fairon (University of Paris-Saclay\, France)
DTSTART;VALUE=DATE-TIME:20230410T150000Z
DTEND;VALUE=DATE-TIME:20230410T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/13
DESCRIPTION:Title: A
round Van den Bergh's double brackets\nby Maxime Fairon (University of
Paris-Saclay\, France) as part of European Non-Associative Algebra Semina
r\n\n\nAbstract\nThe notion of a double Poisson bracket on an associative
algebra was introduced by M. Van den Bergh in order to induce a (usual) Po
isson bracket on the representation spaces of this algebra. I will start b
y reviewing the basics of this theory and its relation to other interestin
g operations\, such as Leibniz brackets and $H_0$-Poisson structures. I wi
ll then explain some recent results and generalisations related to double
Poisson brackets.\n
LOCATION:https://researchseminars.org/talk/ENAAS/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kaiming Zhao (Wilfrid Laurier University\, Waterloo\, Canada)
DTSTART;VALUE=DATE-TIME:20230529T150000Z
DTEND;VALUE=DATE-TIME:20230529T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/14
DESCRIPTION:Title: S
imple smooth modules\nby Kaiming Zhao (Wilfrid Laurier University\, Wa
terloo\, Canada) as part of European Non-Associative Algebra Seminar\n\n\n
Abstract\nLet L be a graded Lie algebra by integers with k-th homogenous s
pace $L_k$ where k are integers. An L-module V is called a smooth module i
f any vector in V can be annihilated by $L_k$ for all sufficiently large k
. Smooth modules for affine Kac-Moody algebras were introduced and studied
by Kazhdan and Lusztig in 1993. I will show why this class of modules sho
uld be studied and what results are known now. An easy characterization fo
r simple smooth modules for some Lie algebras will be provided.\n
LOCATION:https://researchseminars.org/talk/ENAAS/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marzia Mazzotta (University of Salento\, Italy)
DTSTART;VALUE=DATE-TIME:20230417T150000Z
DTEND;VALUE=DATE-TIME:20230417T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/15
DESCRIPTION:Title: C
lassification of set-theoretical solutions to the pentagon equation\nb
y Marzia Mazzotta (University of Salento\, Italy) as part of European Non-
Associative Algebra Seminar\n\n\nAbstract\nThe pentagon equation classical
ly originates from the field of Mathematical Physics. Our attention is pla
ced on the study of set-theoretical solutions of this equation\, namely\,
maps $s: X \\times X \\to X \\times X$ given by $s(x\, y)=(xy\, \\theta_x(
y))$\, where $X$ is a semigroup and $\\theta_x:X \\to X$ is a map satisfyi
ng two laws. In this talk\, we give some recent descriptions of some clas
ses of solutions achieved starting from particular semigroups. Into the sp
ecific\, we provide a characterization of \\emph{idempotent-invariant} sol
utions on a Clifford semigroup $X$\, that are those for which $\\theta_a$
remains invariant on the set of idempotents $E(X)$. In addition\, we will
focus on the classes of \\emph{involutive} and \\emph{idempotent} solution
s\, which are solutions fulfilling $s^2=id_{X \\times X}$ and $s^2=s$\, re
spectively.\n
LOCATION:https://researchseminars.org/talk/ENAAS/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Přemysl Jedlička (Czech University of Life Sciences\, Czechia)
DTSTART;VALUE=DATE-TIME:20230403T150000Z
DTEND;VALUE=DATE-TIME:20230403T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/16
DESCRIPTION:Title: N
on-degenerate involutive set-theoretic solutions of the Yang-Baxter equati
on of multipermutation level 2\nby Přemysl Jedlička (Czech Universit
y of Life Sciences\, Czechia) as part of European Non-Associative Algebra
Seminar\n\n\nAbstract\nSet-theoretic solution of the Yang-Baxter equation
is a mapping $r:X\\times X\\to X\\times X$ satisfying\n\\[ (r\\times 1) (1
\\times r) (r\\times 1) = (1\\times r) (r\\times 1) (1\\times r). \\]\nA s
olution $r: (x\,y)\\mapsto (\\sigma_x(y)\,\\tau_y(x))$ is called non-degen
erate if the mappings $\\sigma_x$ and $\\tau_y$ are permutations\, for all
$x\,y\\in X$. A solution is called involutive if $r^2=1$.\n\nIf $(X\,r)$
is a non-degenerate involutive solution $(X\,r)$ then the relation~$\\sim$
defined by $x\\sim y\\equiv \\sigma_x=\\sigma_y$ is a congruence. A solut
ion is of multipermutation level 2 if $|(X/\\sim)/\\sim|=1$.\n\nIn our tal
k we focus on these solutions and we present several constructions and pro
perties.\n
LOCATION:https://researchseminars.org/talk/ENAAS/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Malihe Yousofzadeh (University of Isfahan\, Iran)
DTSTART;VALUE=DATE-TIME:20230522T150000Z
DTEND;VALUE=DATE-TIME:20230522T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/17
DESCRIPTION:Title: F
inite Weight Modules over Affine Lie Superalgebras\nby Malihe Yousofza
deh (University of Isfahan\, Iran) as part of European Non-Associative Alg
ebra Seminar\n\n\nAbstract\nNonzero real vectors of an affine Lie superalg
ebra act on a simple module either locally nilpotently or injectively. Thi
s helps us to divide simple finite weight modules over a twisted affine Li
e superalgebra $\\mathfrak{L}$ into two subclasses called hybrid and tight
. We will talk about the characterization as well as the classification pr
oblem of modules in each subclass. In this regard\, the classification of
bases of the root system of $\\mathfrak{L}$ is crucial. We will discuss ho
w we can classify the bases and how we can use the obtained classification
to study simple finite weight modules over $\\mathfrak{L}.$\n
LOCATION:https://researchseminars.org/talk/ENAAS/17/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yunhe Sheng (Jilin University\, China)
DTSTART;VALUE=DATE-TIME:20230508T090000Z
DTEND;VALUE=DATE-TIME:20230508T100000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/18
DESCRIPTION:Title: R
ota-Baxter operators and post-groups\nby Yunhe Sheng (Jilin University
\, China) as part of European Non-Associative Algebra Seminar\n\n\nAbstrac
t\nRota-Baxter operators on Lie algebras were first studied by Belavin\, D
rinfeld and Semenov-Tian-Shansky as operator forms of the classical Yang-B
axter equation. Integrating the Rota-Baxter operators on Lie algebras\, we
introduce the notion of Rota-Baxter operators on Lie groups and more gene
rally on groups. Then the factorization theorem can be achieved directly o
n groups. We introduce the notion of post-Lie groups\, whose differentiati
ons are post-Lie algebras. A Rota-Baxter operator on a group naturally ind
uces a post-group. Post-groups are also closely related to operads\, brace
s\, Lie-Butcher groups and various structures.\n
LOCATION:https://researchseminars.org/talk/ENAAS/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mátyás Domokos (Alfréd Rényi Institute of Mathematics\, Hungar
y)
DTSTART;VALUE=DATE-TIME:20230508T150000Z
DTEND;VALUE=DATE-TIME:20230508T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/19
DESCRIPTION:Title: A
n application of classical invariant theory to the study of identities and
concomitants of irreducible representations of the simple 3-dimensional c
omplex Lie algebra\nby Mátyás Domokos (Alfréd Rényi Institute of M
athematics\, Hungary) as part of European Non-Associative Algebra Seminar\
n\n\nAbstract\nTo an $n$-dimensional representation of a finite dimensiona
l Lie algebra one can naturally associate an algebra of equivariant polyno
mial maps from the space of $m$-tuples of elements of the Lie algebra into
the space of $n$-by-$n$ matrices. In the talk we mainly deal with the spe
cial case of irreducible\nrepresentations of the simple $3$-dimensional co
mplex Lie algebra\, and discuss results on the generators of the correspon
ding associative algebra of concomitants as well as results on the quantit
ative behaviour of the identities of these representations.\n
LOCATION:https://researchseminars.org/talk/ENAAS/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rutwig Campoamor Stursberg (Complutense University of Madrid\, Spa
in)
DTSTART;VALUE=DATE-TIME:20230605T150000Z
DTEND;VALUE=DATE-TIME:20230605T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/20
DESCRIPTION:Title: C
ommutants of subalgebras in universal enveloping algebras\nby Rutwig C
ampoamor Stursberg (Complutense University of Madrid\, Spain) as part of E
uropean Non-Associative Algebra Seminar\n\n\nAbstract\nThe problem of dete
rmining centralizers in the enveloping algebras of Lie algebras is conside
red from both the algebraic and analytical perspectives. Applications of t
he procedure\, such as the decomposition problem of the enveloping algebra
of a simple Lie algebra\, the labelling problem and the construction of o
rthonormal bases of states are considered.\n
LOCATION:https://researchseminars.org/talk/ENAAS/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lewis Topley (University of Bath\, UK)
DTSTART;VALUE=DATE-TIME:20230515T090000Z
DTEND;VALUE=DATE-TIME:20230515T100000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/21
DESCRIPTION:Title: M
odular representation theory and finite W-algebras\nby Lewis Topley (U
niversity of Bath\, UK) as part of European Non-Associative Algebra Semina
r\n\n\nAbstract\nFinite W-algebras were introduced by Premet in full gener
ality\, and they quickly became quite famous for their many applications i
n the representation theory of complex semisimple Lie algebras\, especiall
y the classification of primitive ideals. However\, these algebras first a
ppeared in the representation theory of Lie algebras associated to reducti
ve groups in positive characteristic. In this talk I will survey the histo
ry of finite W-algebras in modular representation theory\, and explain som
e of the contributions I have made to the field. The main applications in
this talk will be the construction and classification of``small'' modul
es of Lie algebras.\n
LOCATION:https://researchseminars.org/talk/ENAAS/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Thiago Castilho de Mello (Federal University of São Paulo\, Brazi
l)
DTSTART;VALUE=DATE-TIME:20230424T150000Z
DTEND;VALUE=DATE-TIME:20230424T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/22
DESCRIPTION:Title: I
mages of polynomials on algebras\nby Thiago Castilho de Mello (Federal
University of São Paulo\, Brazil) as part of European Non-Associative Al
gebra Seminar\n\n\nAbstract\nThe so-called Lvov-Kaplansky Conjecture state
s that the image of a multilinear polynomial evaluated on the matrix algeb
ra or order n is always a vector subspace. A solution to this problem is k
nown only for $n=2$. In this talk we will present analogous conjectures fo
r other associative and non-associative algebras and for graded algebras.
Also\, we will show how we can use gradings to present a statement equival
ent to the Lvov-Kaplansky conjecture.\n
LOCATION:https://researchseminars.org/talk/ENAAS/22/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sandro Mattarei (University of Lincoln\, UK)
DTSTART;VALUE=DATE-TIME:20230612T150000Z
DTEND;VALUE=DATE-TIME:20230612T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/23
DESCRIPTION:Title: G
raded Lie algebras of maximal class\nby Sandro Mattarei (University of
Lincoln\, UK) as part of European Non-Associative Algebra Seminar\n\n\nAb
stract\nThe title matches that of a series of papers by various authors be
ginning in 1997\, whose goal was the study and classification of such alge
bras over fields of positive characteristic. The original motivation came
from group theory: the Leedham-Green and Newman coclass conjectures on pro
-p groups from 1980 had all become theorems relatively recently\, and subs
equent results of Shalev and Zelmanov had raised interest in what one coul
d say about Lie algebras of finite coclass. In positive characteristic\, t
he simplest case of coclass one (i.e.\, 'Lie algebras of maximal class'\,
also called 'filiform' in some quarters) appeared challenging even under t
he strong assumptions of those Lie algebras being infinite-dimensional and
graded over the positive integers. I will review motivations and results
of those studies\, including some classifications obtained by Caranti\, Ne
wman\, Vaughan-Lee. Then I will describe some generalizations recently est
ablished with three of my former PhD students.\n
LOCATION:https://researchseminars.org/talk/ENAAS/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Esther García González (King Juan Carlos University\, Spain)
DTSTART;VALUE=DATE-TIME:20230626T150000Z
DTEND;VALUE=DATE-TIME:20230626T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/24
DESCRIPTION:Title: N
ilpotent last-regular elements\nby Esther García González (King Juan
Carlos University\, Spain) as part of European Non-Associative Algebra Se
minar\n\n\nAbstract\nWe say that an element $x$ in a ring $R$ is nilpotent
last-regular if it is nilpotent of certain index $n+1$ and its last nonze
ro power $x^n$ is regular von Neumann\, i.e.\, there exists another elemen
t $y\\in R$ such that $x^nyx^n=x^n$. This type of elements naturally arise
when studying certain inner derivations in the Lie algebra $\\Skew(R\,*)$
of a ring $R$ with involution $*$ whose indices of nilpotence differ when
considering them acting as derivations on $\\Skew(R\,*)$ and on the whole
$R$. When moving to the symmetric Martindale ring of quotients $Q^s_m(R)$
of $R$ we still obtain inner derivations with the same indices of nilpote
nce on $Q^s_m(R)$ and on the skew-symmetric elements $\\Skew(Q^s_m(R)\,*)$
of $Q^s_m(R)$\, but with the extra condition of being generated by a nilp
otent last-regular element. This condition strongly determines the structu
re of $Q^s_m(R)$ and of $\\Skew(Q^s_m(R)\,*)$. \nWe will review the Jordan
canonical form of nilpotent last-regular elements and show how to get gra
dings in associative algebras (with and without involution) when they have
such elements.\n
LOCATION:https://researchseminars.org/talk/ENAAS/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sigiswald Barbier (Ghent University\, Belgium)
DTSTART;VALUE=DATE-TIME:20230703T150000Z
DTEND;VALUE=DATE-TIME:20230703T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/25
DESCRIPTION:Title: D
iagram categories of Brauer type\nby Sigiswald Barbier (Ghent Universi
ty\, Belgium) as part of European Non-Associative Algebra Seminar\n\n\nAbs
tract\nDiagram categories are a special kind of tensor categories that can
be represented using diagrams. In this talk I will give an introduction t
o categories represented using Brauer diagrams. In particular I will expla
in the relation with the Brauer algebra and how the categorical framework
can be applied to representation theory of the corresponding algebra.\n
LOCATION:https://researchseminars.org/talk/ENAAS/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ivan Arzhantsev (HSE University\, Russia)
DTSTART;VALUE=DATE-TIME:20230515T150000Z
DTEND;VALUE=DATE-TIME:20230515T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/26
DESCRIPTION:Title: U
niqueness of addition in Lie algebras\nby Ivan Arzhantsev (HSE Univers
ity\, Russia) as part of European Non-Associative Algebra Seminar\n\n\nAbs
tract\nWe say that a Lie ring R is called a unique addition Lie ring\, or
briefly a UA-Lie ring\, if any commutator-preserving bijection on R preser
ves the addition as well. We prove that any semisimple Lie algebra and any
its parabolic subalgebra is a UA-Lie ring. Also we describe wide classes
of solvable UA-Lie rings.\n
LOCATION:https://researchseminars.org/talk/ENAAS/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vladimir Dotsenko (University of Strasbourg\, France)
DTSTART;VALUE=DATE-TIME:20230424T090000Z
DTEND;VALUE=DATE-TIME:20230424T100000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/27
DESCRIPTION:Title: O
perad filtrations and quantization\nby Vladimir Dotsenko (University o
f Strasbourg\, France) as part of European Non-Associative Algebra Seminar
\n\n\nAbstract\nThe celebrated problem of deformation quantization discuss
es deformations of Poisson algebras into associative algebras\, a question
that is\, in the end\, motivated by quantum mechanics. I shall discuss th
is question and some of its generalisations from the purely algebraic poin
t of view using the theory of operads. In particular\, I shall show how to
prove that there are\, in a strict mathematical sense\, only two meaningf
ul deformation problems for Poisson algebras\, namely deforming them in th
e class of all Poisson algebras or all associative algebras\, and there is
only one meaningful deformation problem for the so called almost Poisson
algebras (also sometimes known as generic Poisson algebras)\, namely defor
ming them in the class of all almost Poisson algebras. For instance\, this
explains the existing body of work in the mathematical physics literature
asserting that some classes of non-associative star products cannot be al
ternative\, are always flexible etc.\n
LOCATION:https://researchseminars.org/talk/ENAAS/27/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Csaba Schneider (Federal University of Minas Gerais\, Brazil)
DTSTART;VALUE=DATE-TIME:20230821T150000Z
DTEND;VALUE=DATE-TIME:20230821T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/28
DESCRIPTION:Title: C
omputing invariants of some nilpotent Lie algebras\nby Csaba Schneider
(Federal University of Minas Gerais\, Brazil) as part of European Non-Ass
ociative Algebra Seminar\n\n\nAbstract\nI will present some interesting co
mputations concerning polynomial and rational invariants of nilpotent Lie
algebras. I will say more about standard filiform Lie algebras which appea
r to have the highest level of complication among the small-dimensional al
gebras. I will outline an implementable algorithm for the computation of g
enerators of the field of rational invariants.\n
LOCATION:https://researchseminars.org/talk/ENAAS/28/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alberto Facchini (University of Padua\, Italy)
DTSTART;VALUE=DATE-TIME:20230814T150000Z
DTEND;VALUE=DATE-TIME:20230814T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/29
DESCRIPTION:Title: H
eaps and trusses\nby Alberto Facchini (University of Padua\, Italy) as
part of European Non-Associative Algebra Seminar\n\n\nAbstract\nI will pr
esent the first notions concerning heaps and trusses. Heaps were introduce
d for the first time by H. Prüfer (1924) and R. Baer (1929). A heap is a
pair $(H\, [−\,−\,−])$ consisting of a set $H$ and a ternary operat
ion $$[−\,−\,−] : H \\times H \\times H \\to H\, (x\, y\, z) \\to
[x\, y\, z]\,$$ such that\, for all $v\, w\, x\, y\, z \\in H\,$ \n$$[v\
, w\, [x\, y\, z]] = [[v\, w\, x\, ]\, y\, z]\, \\ [x\, x\, y] = y\,\\ [y\
, x\, x]= y.$$\n Truss is a much more recent algebraic structure (T. Brzez
iński\, 2019). A truss is a heap with a further associative binary opera
tion\, denoted by juxtaposition\, which distributes over $[−\,−\,−]\
,$ that is\, for all $w\, x\, y\, z \\in T\,$ \n$$w[x\, y\, z] = [wx\, wy\
, wz]\, \\ [x\, y\, z]w = [xw\, yw\, zw]\,\\ [x\, y\, z] =[z\, y\, x].$$\n
LOCATION:https://researchseminars.org/talk/ENAAS/29/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Elitza Hristova (Institute of Mathematics and Informatics\, Bulgar
ia)
DTSTART;VALUE=DATE-TIME:20230828T150000Z
DTEND;VALUE=DATE-TIME:20230828T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/30
DESCRIPTION:Title: O
n the GL(n)-module structure of Lie nilpotent associative relatively free
algebras\nby Elitza Hristova (Institute of Mathematics and Informatics
\, Bulgaria) as part of European Non-Associative Algebra Seminar\n\n\nAbst
ract\nLet $K\\langle X\\rangle$ denote the free associative algebra genera
ted by a finite set $X$ with n elements over a field $K$ of characteristic
0. Let $I_p$ denote the two-sided associative ideal in $K\\langle X\\rang
le$ generated by all commutators of length $p$\, where $p$ is an arbitrary
positive integer greater than 1. The group ${\\rm GL(n)}$ acts in a natur
al way on the quotient $K\\langle X\\rangle/I_p$ and the ${\\rm GL(n)}$-mo
dule structure of $K\\langle X\\rangle/I_p$ is known for $p=2\,3\,4\,5$. I
n this talk\, we give some results on the ${\\rm GL}(n)$-module structure
of $K\\langle X\\rangle/I_p$ for any $p$. More precisely\, we give a bound
on the values of the highest weights of irreducible ${\\rm GL}(n)$-module
s which appear in the decomposition of $K\\langle X\\rangle/I_p$. We discu
ss also applications of these results related to the algebras of G-invaria
nts in $K\\langle X\\rangle/I_p$\, where G is one of the classical ${\\rm
GL}(n)$-subgroups ${\\rm SL}(n)$\, ${\\rm O}(n)$\, ${\\rm SO}(n)$\, or ${\
\rm Sp}(2k)$ (for $n=2k$).\n
LOCATION:https://researchseminars.org/talk/ENAAS/30/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tiago Macedo (Federal University of São Paulo\, Brazil)
DTSTART;VALUE=DATE-TIME:20230710T150000Z
DTEND;VALUE=DATE-TIME:20230710T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/31
DESCRIPTION:Title: F
inite-dimensional modules for map superalgebras\nby Tiago Macedo (Fede
ral University of São Paulo\, Brazil) as part of European Non-Associative
Algebra Seminar\n\n\nAbstract\nIn this talk we will present recent result
s on the category of finite-dimensional modules for map superalgebras. Fir
stly\, we will show a new description of certain irreducible modules. Seco
ndly\, we will use this new description to extract homological properties
of the category of finite-dimensional modules for map superalgebras\, most
importantly\, its block decomposition.\n
LOCATION:https://researchseminars.org/talk/ENAAS/31/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrea Solotar (University of Buenos Aires\, Argentina)
DTSTART;VALUE=DATE-TIME:20230724T150000Z
DTEND;VALUE=DATE-TIME:20230724T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/32
DESCRIPTION:Title: T
amarkin-Tsygan calculus for gentle algebras\nby Andrea Solotar (Univer
sity of Buenos Aires\, Argentina) as part of European Non-Associative Alge
bra Seminar\n\n\nAbstract\nThe whole structure given by the Hochschild coh
omology and homology of an associative algebra A together with the cup and
cap products\, the Gerstenhaber bracket and the Connes differential is ca
lled the Tamarkin-Tsygan calculus. It is invariant under derived equivalen
ce and if we can compute all these invariants provides a lot of informatio
n. The calculation of the whole Tamarkin-Tsygan calculus is very difficult
and generally not even possible for particular algebras. However\, there
exist some calculations for individual algebras. The problem is\, in gener
al\, that the minimal projective bimodule resolutions are difficult to fin
d and even if one is able to compute such a resolution\, it might be so co
mplicated that the computation of the Tamarkin-Tsygan calculus is not with
in reach. For monomial algebras the minimal projective bimodule resolution
is known and in the case of quadratic monomial algebras it is simple enou
gh\, to embark on the extensive calculations of the Tamarkin Tsygan calcul
us. Yet even for quadratic monomial algebras\, the combinatorial level of
the calculations is such\nthat it is too complicated to calculate the whol
e calculus. On the other hand for gentle algebras\, the additional constra
ints on their structure are such that the calculations become possible. We
will focus on the concrete aspects of these calculations.\n
LOCATION:https://researchseminars.org/talk/ENAAS/32/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexey Petukhov (Institute for Information Transmission Problems\,
Russia)
DTSTART;VALUE=DATE-TIME:20230717T150000Z
DTEND;VALUE=DATE-TIME:20230717T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/33
DESCRIPTION:Title: W
itt Lie algebra and the associated primitive ideals\nby Alexey Petukho
v (Institute for Information Transmission Problems\, Russia) as part of Eu
ropean Non-Associative Algebra Seminar\n\n\nAbstract\nIn my talk I would l
ike to discuss my joint articles with S. Sierra about the primitive ideals
of universal enveloping U(W) and the symmetric algebra S(W) of Witt Lie a
lgebra W and similar Lie algebras (including Virasoro Lie algebra). The ke
y theorem in this setting is that every nontrivial quotient by a two-sided
ideal of U(W) or S(W) has finite Gelfand-Kirillov dimension. Together wit
h S. Sierra we enhanced this statement to the description of primitive Poi
sson ideals of S(W) in terms of certain points on the complex plane plus a
few parameters attached to these points. In the end I will try to explain
how all these concepts works for the ideals whose quotient has Gelfand-Ki
rillov dimension 2.\n
LOCATION:https://researchseminars.org/talk/ENAAS/33/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Şehmus Fındık (Çukurova University\, Turkey)
DTSTART;VALUE=DATE-TIME:20230731T150000Z
DTEND;VALUE=DATE-TIME:20230731T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/34
DESCRIPTION:Title: S
ymmetric polynomials in some certain noncommutative algebras\nby Şehm
us Fındık (Çukurova University\, Turkey) as part of European Non-Associ
ative Algebra Seminar\n\n\nAbstract\nLet F be a finitely generated free al
gebra in a variety of algebras over a field of characteristic zero. A poly
nomial in F is called symmetric if it is preserved under any permutation o
f the generators. The set S(F) of symmetric polynomials is a subalgebra of
F. In this talk\, we examine the algebras S(F)\, where F is the free meta
belian associative\, Lie\, Leibniz\, Poisson algebra or the free algebra g
enerated by generic traceless matrices or the free algebra in the variety
generated by Grassmann algebras.\n
LOCATION:https://researchseminars.org/talk/ENAAS/34/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lleonard Rubio y Degrassi (Uppsala University\, Sweden)
DTSTART;VALUE=DATE-TIME:20230807T150000Z
DTEND;VALUE=DATE-TIME:20230807T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/35
DESCRIPTION:Title: H
ochschild cohomology groups under gluing idempotents\nby Lleonard Rubi
o y Degrassi (Uppsala University\, Sweden) as part of European Non-Associa
tive Algebra Seminar\n\n\nAbstract\nStable equivalences occur frequently i
n the representation theory of finite-dimensional algebras\; however\, the
se equivalences are poorly understood. An interesting class of stable equi
valences is obtained by ‘gluing’ two idempotents. More precisely\, let
A be a finite-dimensional algebra with a simple projective module and a s
imple injective module. Assume that B is a subalgebra of A having the same
Jacobson radical. Then B is constructed by identifying the two idempotent
s belonging to the simple projective module and to the simple injective mo
dule\, respectively. \n\nIn this talk\, we will compare the first Hochschi
ld cohomology groups of finite-dimensional monomial algebras under gluing
two arbitrary idempotents (hence not necessarily inducing a stable equival
ence). As a corollary\, we will show that stable equivalences obtained by
gluing two idempotents provide 'some functoriality' to the first Hochschil
d cohomology\, that is\, HH^1(A) is isomorphic to a quotient of HH^1(B).\n
LOCATION:https://researchseminars.org/talk/ENAAS/35/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mykola Khrypchenko (Univesity of Porto\, Portugal)
DTSTART;VALUE=DATE-TIME:20230904T150000Z
DTEND;VALUE=DATE-TIME:20230904T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/36
DESCRIPTION:Title: T
ransposed Poisson structures\nby Mykola Khrypchenko (Univesity of Port
o\, Portugal) as part of European Non-Associative Algebra Seminar\n\n\nAbs
tract\nA transposed Poisson algebra is a triple (L\,⋅\,[⋅\,⋅]) consi
sting of a vector space L with two bilinear operations ⋅ and [⋅\,⋅]\
, such that (L\,⋅) is a commutative associative algebra\; (L\,[⋅\,⋅]
) is a Lie algebra\; the "transposed" Leibniz law holds: 2z⋅[x\,y]=[z⋅
x\,y]+[x\,z⋅y] for all x\,y\,z∈L. A transposed Poisson algebra structu
re on a Lie algebra (L\,[⋅\,⋅]) is a (commutative associative) multipl
ication ⋅ on L such that (L\,⋅\,[⋅\,⋅]) is a transposed Poisson al
gebra. I will give an overview of my recent results in collaboration with
Ivan Kaygorodov (Universidade da Beira Interior) on classification of tran
sposed Poisson structures on several classes of Lie algebras.\n
LOCATION:https://researchseminars.org/talk/ENAAS/36/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bauyrzhan Sartayev (Suleyman Demirel University\, Kazakhstan)
DTSTART;VALUE=DATE-TIME:20230911T150000Z
DTEND;VALUE=DATE-TIME:20230911T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/37
DESCRIPTION:Title: B
inary perm algebras and alternative algebras\nby Bauyrzhan Sartayev (S
uleyman Demirel University\, Kazakhstan) as part of European Non-Associati
ve Algebra Seminar\n\n\nAbstract\nWe describe the defining identities of a
variety of binary perm algebras which is a subvariety of the variety of a
lternative algebras. Moreover\, we construct a basis of the free binary pe
rm algebra. In addition\, we describe the subalgebras of binary perm algeb
ras under commutator which has a connection with Malcev algebras.\n
LOCATION:https://researchseminars.org/talk/ENAAS/37/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hader Elgendy (Damietta University\, Egypt)
DTSTART;VALUE=DATE-TIME:20230925T150000Z
DTEND;VALUE=DATE-TIME:20230925T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/38
DESCRIPTION:Title: O
n Jordan quadruple systems\nby Hader Elgendy (Damietta University\, Eg
ypt) as part of European Non-Associative Algebra Seminar\n\n\nAbstract\nWe
present the recent results on Jordan quadruple systems. We show the Peirc
e decomposition for a Jordan quadruple system with respect to a quadripote
nt. We extend the notions of the orthogonality\, primitivity\, and minimal
ity of tripotents in a Jordan triple system to that of quadripotents\nin a
Jordan quadruple system. We show the relation between minimal and primiti
ve quadripotents in a Jordan quadruple system. We also discuss the results
on complemented subsystems of Jordan quadruple systems.\n
LOCATION:https://researchseminars.org/talk/ENAAS/38/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alfilgen Sebandal (Mindanao State University\, Philippines)
DTSTART;VALUE=DATE-TIME:20231002T150000Z
DTEND;VALUE=DATE-TIME:20231002T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/39
DESCRIPTION:Title: F
inite graded classification conjecture for Leavitt path algebras\nby A
lfilgen Sebandal (Mindanao State University\, Philippines) as part of Euro
pean Non-Associative Algebra Seminar\n\n\nAbstract\nGiven a directed graph
\, one can associate two algebraic entities: the Leavitt path algebra and
the talented monoid. The Graded Classification conjecture states that the
talented monoid could be a graded invariant for the Leavitt path algebra\,
i.e.\, isomorphism in the talented monoids reflects as graded equivalence
in the category of graded modules over the Leavitt path algebra of the co
rresponding directed graphs. In this talk\, we shall see confirmations of
this invariance in the ideal structure of the talented monoid with the so-
called Gelfand-Kirillov Dimension of the Leavitt path algebra. The last pa
rt of the talk is an affirmation of the Graded classification conjecture i
n the finite-dimensional case. This is a compilation of joint works with R
oozbeh Hazrat\, Wolfgang Bock\, and Jocelyn P. Vilela.\n
LOCATION:https://researchseminars.org/talk/ENAAS/39/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adam Chapman (Academic College of Tel-Aviv-Yaffo\, Israel)
DTSTART;VALUE=DATE-TIME:20230918T150000Z
DTEND;VALUE=DATE-TIME:20230918T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/40
DESCRIPTION:Title: R
oots and Critical Points of Cayley-Dickson Algebras\nby Adam Chapman (
Academic College of Tel-Aviv-Yaffo\, Israel) as part of European Non-Assoc
iative Algebra Seminar\n\n\nAbstract\n"We study the roots and critical poi
nts (i.e.\, points at which the formal derivative vanishes) of standard po
lynomials over Cayley-Dickson algebras.\nIn the anisotropic real case\, we
prove that the critical points live inside the convex hull of the roots o
f the polynomial.\nThe talk is based on joint work with Alexander Guterman
\, Solomon Vishkautsan and Svetlana Zhilina."\n
LOCATION:https://researchseminars.org/talk/ENAAS/40/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Petr Vojtěchovský (University of Denver\, USA)
DTSTART;VALUE=DATE-TIME:20231030T150000Z
DTEND;VALUE=DATE-TIME:20231030T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/41
DESCRIPTION:Title: S
olvability and nilpotence just beyond groups\nby Petr Vojtěchovský (
University of Denver\, USA) as part of European Non-Associative Algebra Se
minar\n\n\nAbstract\nSolvability and nilpotence arise naturally from the c
ommutator theory in congruence modular varieties. In the presence of assoc
iativity\, the resulting concepts agree with the classical concepts of gro
up theory. But the two kinds of solvability differ in loops ( = not necess
arily associative groups) and it is a difficult question to determine the
boundary where the two theories coincide. I will review the general theory
and report on recent results\, particularly in Moufang loops. For instanc
e\, we will prove the Odd Order Theorem for Moufang loops for the stronger
notion of solvability. This is joint work with Ales Drapal and David Stan
ovsky.\n
LOCATION:https://researchseminars.org/talk/ENAAS/41/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vladimir Gorbatsevich (Russian State Technological University name
d after K.E. Tsiolkovky\, Russia)
DTSTART;VALUE=DATE-TIME:20231009T150000Z
DTEND;VALUE=DATE-TIME:20231009T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/42
DESCRIPTION:Title: O
n some classes of bases in finite-dimensional Lie algebras\nby Vladimi
r Gorbatsevich (Russian State Technological University named after K.E. Ts
iolkovky\, Russia) as part of European Non-Associative Algebra Seminar\n\n
\nAbstract\nLie algebras having bases of a special form (nice and beautifu
l bases) are considered. For nice bases\, it is proved that in any nilpote
nt Lie algebra their number (up to equivalence) is ﬁnite. For some Lie a
lgebras of low dimension\, it is shown that\, when passing from a complex
Lie algebra to its realiﬁcation\, the property to have a beautiful basis
is lost. Also nilpotent Lie algebras of dimensions less than 8 are consid
ered.\n
LOCATION:https://researchseminars.org/talk/ENAAS/42/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Martin Markl (The Czech Academy of Sciences\, Czechia)
DTSTART;VALUE=DATE-TIME:20231023T150000Z
DTEND;VALUE=DATE-TIME:20231023T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/43
DESCRIPTION:Title: T
ransfers of strongly homotopy structures as Grothendieck bifibrations\
nby Martin Markl (The Czech Academy of Sciences\, Czechia) as part of Euro
pean Non-Associative Algebra Seminar\n\n\nAbstract\nIt is well-known that
strongly homotopy structures can be transferred over chain homotopy equiva
lences. Using the uniqueness results of Markl & Rogers we show that the tr
ansfers could be organized into a discrete Grothendieck bifibration. An im
mediate aplication is e.g. functoriality up to isotopy.\n
LOCATION:https://researchseminars.org/talk/ENAAS/43/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Guodong Zhou (East China Normal University\, China)
DTSTART;VALUE=DATE-TIME:20231016T150000Z
DTEND;VALUE=DATE-TIME:20231016T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/44
DESCRIPTION:Title: T
he homotopy theory of operated algebras\nby Guodong Zhou (East China N
ormal University\, China) as part of European Non-Associative Algebra Semi
nar\n\n\nAbstract\nThe talk is a survey of our recent results on the homot
opy theory of operated algebras such as Rota-Baxter associative (or Lie) a
lgebras and differential associative (or Lie) algebras etc. We make explic
it the Kozul dual homotopy cooperads and the minimal models of the operads
governing these operated algebras. As a consequence the L-infinity struct
ures on the deformation complexes are described as well.\n
LOCATION:https://researchseminars.org/talk/ENAAS/44/
END:VEVENT
BEGIN:VEVENT
SUMMARY:František Marko (Pennsylvania State University\, USA)
DTSTART;VALUE=DATE-TIME:20231113T150000Z
DTEND;VALUE=DATE-TIME:20231113T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/45
DESCRIPTION:Title: B
locks of rational supermodules over some quasi-reductive supergroups in po
sitive characteristic\nby František Marko (Pennsylvania State Univers
ity\, USA) as part of European Non-Associative Algebra Seminar\n\n\nAbstra
ct\nThis is an overview of joint work with Alexandr N. Zubkov. We discuss
linkage principles and blocks for general linear\, ortho-symplectic\, and
periplectic supergroups over fields of positive characteristics. In the en
d\, we describe the strong linkage principle and blocks for the queer supe
rgroup Q(2)."\n
LOCATION:https://researchseminars.org/talk/ENAAS/45/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Senne Trappeniers (Free University of Brussels\, Belgium)
DTSTART;VALUE=DATE-TIME:20231127T150000Z
DTEND;VALUE=DATE-TIME:20231127T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/46
DESCRIPTION:Title: T
he interplay between skew braces\, the Yang–Baxter equation and Hopf–G
alois structures\nby Senne Trappeniers (Free University of Brussels\,
Belgium) as part of European Non-Associative Algebra Seminar\n\n\nAbstract
\nIn 2007\, Wolfgang Rump introduced algebraic objects called braces\, the
se gen- eralise Jacobson radical rings and are related to involutive non-d
egenerate set- theoretic solutions of the Yang–Baxter equation (YBE). Th
ese objects were subse- quently generalised to skew braces by Leandro Guar
nieri and Leandro Vendramin in 2017\, and a similar relation was shown to
hold for non-degenerate set-theoretic solutions of the YBE which are not n
ecessarily involutive. In this talk\, we will de- scribe this interplay be
tween skew braces and the YBE. We will also discuss their relation to Hopf
–Galois structures and see how this extends the classical Galois theory
in an elegant way.\n
LOCATION:https://researchseminars.org/talk/ENAAS/46/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Svetlana Zhilina (Lomonosov Moscow State University\, Russia)
DTSTART;VALUE=DATE-TIME:20231106T150000Z
DTEND;VALUE=DATE-TIME:20231106T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/47
DESCRIPTION:Title: O
n the lengths of Okubo algebras\nby Svetlana Zhilina (Lomonosov Moscow
State University\, Russia) as part of European Non-Associative Algebra Se
minar\n\n\nAbstract\nThe length function of a non-associative algebra desc
ribes the guaranteed number of multiplications which will be sufficient to
generate the whole algebra with its arbitrary generating set. In this tal
k we present a new method for length computation based on the sequence of
differences between the dimensions of a certain sequence of subspaces. It
allows us to compute the length of an Okubo algebra A over an arbitrary fi
eld. Namely\, if A contains either nonzero idempotents or zero divisors\,
then its length equals four\, and otherwise its length equals three. We al
so show that\, in the latter case\, A is generated by any two elements whi
ch do not belong to the same two-dimensional subalgebra. The talk is based
on a joint work with Alexander Guterman.\n
LOCATION:https://researchseminars.org/talk/ENAAS/47/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Artem Lopatin (University of Campinas\, Brazil)
DTSTART;VALUE=DATE-TIME:20231120T150000Z
DTEND;VALUE=DATE-TIME:20231120T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/48
DESCRIPTION:Title: P
olynomial invariants for two dimensional algebras\nby Artem Lopatin (U
niversity of Campinas\, Brazil) as part of European Non-Associative Algebr
a Seminar\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ENAAS/48/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Amir Fernández Ouaridi (University of Coimbra\, Portugal)
DTSTART;VALUE=DATE-TIME:20231204T150000Z
DTEND;VALUE=DATE-TIME:20231204T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/49
DESCRIPTION:Title: O
n the simple transposed Poisson algebras and Jordan superalgebras\nby
Amir Fernández Ouaridi (University of Coimbra\, Portugal) as part of Euro
pean Non-Associative Algebra Seminar\n\n\nAbstract\nWe prove that a transp
osed Poisson algebra is simple if and only if its associated Lie bracket i
s simple. Consequently\, any simple finite-dimensional transposed Poisson
algebra over an algebraically closed field of characteristic zero is trivi
al. Similar results are obtained for transposed Poisson superalgebras. An
example of a non-trivial simple finite-dimensional transposed Poisson alge
bra is constructed by studying the transposed Poisson structures on the mo
dular Witt algebra. Furthermore\, we show that the Kantor double of a tran
sposed Poisson algebra is a Jordan superalgebra\, that is\, we prove that
transposed Poisson algebras are Jordan brackets. Additionally\, a simplic
ity criterion for the Kantor double of a transposed Poisson algebra is obt
ained.\n
LOCATION:https://researchseminars.org/talk/ENAAS/49/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Susanne Pumpluen (University of Nottingham\, UK)
DTSTART;VALUE=DATE-TIME:20231211T150000Z
DTEND;VALUE=DATE-TIME:20231211T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/50
DESCRIPTION:Title: A
way to generalize classical results from central simple algebras to the n
onassociative setting\nby Susanne Pumpluen (University of Nottingham\,
UK) as part of European Non-Associative Algebra Seminar\n\nInteractive li
vestream: https://us02web.zoom.us/j/7803181064\n\nAbstract\nRecently\, the
theory of semiassociative algebras and their Brauer monoid was introduced
by Blachar\, Haile\, Matri\, Rein\, and Vishne as a canonical generali
zation of the theory of associative central simple algebras and their Brau
er group: together with the tensor product semiassociative algebras over a
field form a monoid that contains the classical Brauer group as its uniqu
e maximal subgroup. We present classes of semiassociative algebras that ar
e canonical generalizations of classes of certain central simple algebras
and explore their behaviour in the Brauer monoid. Time permitting\, we als
o discuss some - hopefully interesting - particularities of this newly def
ined Brauer monoid.\n
LOCATION:https://researchseminars.org/talk/ENAAS/50/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergio R. López-Permouth (Ohio University\, USA)
DTSTART;VALUE=DATE-TIME:20240108T150000Z
DTEND;VALUE=DATE-TIME:20240108T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/51
DESCRIPTION:Title: B
asic Extension Modules (All bases are created equal\, but some are more eq
ual than others)\nby Sergio R. López-Permouth (Ohio University\, USA)
as part of European Non-Associative Algebra Seminar\n\nInteractive livest
ream: https://us02web.zoom.us/j/7803181064\n\nAbstract\nWe report on ongoi
ng research about a module-theoretic construction which\, when successful\
, yields natural extensions of infinite-dimensional modules over arbitrary
algebras. Whether the construction works or not depends on the algebra on
e chooses to carry on such a construction. Bases that work are said to be
amenable. A natural example on which one may focus is when the module is t
he algebra itself. For instance\, a great deal of the work done so far has
focused on infinite dimensional algebra of polynomials on a single variab
le. We will see that amenability and related notions serve to classify the
distinct bases according to interesting complementary properties having t
o do with the types of relations induced on them by the properties of thei
r change-of-basis matrices.\n
LOCATION:https://researchseminars.org/talk/ENAAS/51/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vladimir Tkachev (Linköping University\, Sweden)
DTSTART;VALUE=DATE-TIME:20240115T150000Z
DTEND;VALUE=DATE-TIME:20240115T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/52
DESCRIPTION:Title: M
edial algebras associated with automorphisms\nby Vladimir Tkachev (Lin
köping University\, Sweden) as part of European Non-Associative Algebra S
eminar\n\nInteractive livestream: https://us02web.zoom.us/j/7803181064\n\n
Abstract\nIn our talk we will discuss a generalization of our (joint with
Yakov Krasnov) earlier results on medial algebras and theirs polynomial mo
dels. The main observation here is that an inner isotopy\, i.e. a principa
l isotopy under an automorphism of an (arbitrary) algebra\, is a very help
ful instrument in constructing and studying of interesting classes of nona
ssociative algebras. In particular\, our construction is already nontrivia
l and fruitful for the simplest possible initial algebra\, namely\, a comm
utative associative algebra. Then its inner isotopes are always medial. Fu
rthermore\, under some natural assumptions\, such an algebra is generic\,
i.e. it contains the Bezout number of distinct idempotents with nondegener
ate spectrum (i.e. not consisting 1/2). Surprisingly\, one can completely
describe the set of all idempotents in an inner isotope (which splits int
o certain stratification of quasigroups) and even their spectral propertie
s. We also develop an appropriate category-theoretical context for our con
structions. More precisely\, we show that the categories of calibrated sp
ecial commutative medial algebras is isomorphic to the category of calibra
ted commutative associative algebras.\n
LOCATION:https://researchseminars.org/talk/ENAAS/52/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Friedrich Wagemann (University of Nantes\, France)
DTSTART;VALUE=DATE-TIME:20240122T150000Z
DTEND;VALUE=DATE-TIME:20240122T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/53
DESCRIPTION:by Friedrich Wagemann (University of Nantes\, France) as part
of European Non-Associative Algebra Seminar\n\nInteractive livestream: htt
ps://us02web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ENAAS/53/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yanyong Hong (Hangzhou Normal University\, China)
DTSTART;VALUE=DATE-TIME:20240129T150000Z
DTEND;VALUE=DATE-TIME:20240129T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/54
DESCRIPTION:Title: N
ovikov bialgebras\, infinite-dimensional Lie bialgebras and Lie conformal
bialgebras\nby Yanyong Hong (Hangzhou Normal University\, China) as pa
rt of European Non-Associative Algebra Seminar\n\nInteractive livestream:
https://us02web.zoom.us/j/7803181064\n\nAbstract\nIn this talk\, I will in
troduce a bialgebra theory for the Novikov algebra\, namely the Novikov bi
algebra\, which is characterized by the fact that its affinization (by a q
uadratic right Novikov algebra) gives an infinite-dimensional Lie bialgebr
a. A Novikov bialgebra is also characterized as a Manin triple of Novikov
algebras. The notion of Novikov Yang-Baxter equation is introduced\, whose
skewsymmetric solutions can be used to produce Novikov bialgebras and hen
ce Lie bialgebras. These solutions also give rise to skewsymmetric solutio
ns of the classical Yang-Baxter equation in the infinite-dimensional Lie a
lgebras from the Novikov algebras. Moreover\, a similar connection between
Novikov bialgebras and Lie conformal bialgebras will be introduced. This
talk is based on joint works with Chengming Bai and Li Guo.\n
LOCATION:https://researchseminars.org/talk/ENAAS/54/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Victoria Lebed (University of Caen Normandy\, France)
DTSTART;VALUE=DATE-TIME:20240205T150000Z
DTEND;VALUE=DATE-TIME:20240205T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/55
DESCRIPTION:Title: Y
ang-Baxter equation and cactus groups\nby Victoria Lebed (University
of Caen Normandy\, France) as part of European Non-Associative Algebra Sem
inar\n\nInteractive livestream: https://us02web.zoom.us/j/7803181064\n\nAb
stract\nBesides its origins in physics\, the Yang-Baxter equation can boas
t two remarkable features of purely algebraic nature: 1) it offers a unify
ing framework for studying various\, often non-commutative\, algebraic str
uctures (monoids\, Leibniz algebras\, racks etc.)\; 2) it is the key condi
tion for the deformation < X | xy=r(x\,y) for all x\,y in X > of the free
abelian group < X | xy=yx for all x\,y in X > on a set X to conserve its n
ice properties. Another way to generalise free abelian groups is to impose
commutativity on certain pairs of elements of X only. This yields the cel
ebrated right-angled Artin groups (RAAGs). This talk will focus on cactus
groups\, which mix the two generalisations above: they are defined by twis
ted commutation relations for certain pairs of generators only. We will de
scribe an injective group 1-cocycle from any cactus group to a certain RAA
G\, and exploit it for solving the word problem for cactus groups\, and fo
r computing their torsion and center. (Joint work with P. Bellingeri and H
. Chemin.)\n
LOCATION:https://researchseminars.org/talk/ENAAS/55/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Saïd Benayadi (University of Lorraine\, France)
DTSTART;VALUE=DATE-TIME:20240212T150000Z
DTEND;VALUE=DATE-TIME:20240212T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/56
DESCRIPTION:by Saïd Benayadi (University of Lorraine\, France) as part of
European Non-Associative Algebra Seminar\n\nInteractive livestream: https
://us02web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ENAAS/56/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Victor Hildebrandsson (Linköping University\, Sweden)
DTSTART;VALUE=DATE-TIME:20240219T150000Z
DTEND;VALUE=DATE-TIME:20240219T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/57
DESCRIPTION:Title: O
ctonion algebras over schemes and the equivalence of isotopes and isometri
c forms\nby Victor Hildebrandsson (Linköping University\, Sweden) as
part of European Non-Associative Algebra Seminar\n\nInteractive livestream
: https://us02web.zoom.us/j/7803181064\n\nAbstract\nIn 2019\, Alsaody and
Gille show that\, for octonion algebras over unital commutative rings\, th
ere is an equivalence between isotopes and isometric quadratic forms. This
leads us to a question: can this equivalence be generalized to octonion a
lgebras over a (not necessarily affine) scheme? We give the basic definiti
ons of octonion algebras over schemes. We show that an isotope of an octon
ion algebra C over a scheme is isomorphic to a twist by an Aut(C)–torsor
. We conclude by giving an affirmative answer to our question.\n
LOCATION:https://researchseminars.org/talk/ENAAS/57/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ilya Gorshkov (Sobolev Institute of Mathematics\, Russia)
DTSTART;VALUE=DATE-TIME:20240226T150000Z
DTEND;VALUE=DATE-TIME:20240226T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/58
DESCRIPTION:Title: P
seudo-composition algebras as axial algebras\nby Ilya Gorshkov (Sobole
v Institute of Mathematics\, Russia) as part of European Non-Associative A
lgebra Seminar\n\nInteractive livestream: https://us02web.zoom.us/j/780318
1064\n\nAbstract\nWe show that pseudo-composition algebras and train algeb
ras of rank 3 generated by idempotents are characterized as axial algebras
with fusion laws derived from the Peirce decompositions of idempotents in
these classes of algebras. The corresponding axial algebras are called PC
(η)-axial algebras\, where η is an element of the ground field. As a fir
st step towards their classification\, we describe 2− and 3-generated su
balgebras of such algebras.\n
LOCATION:https://researchseminars.org/talk/ENAAS/58/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Turner (University of Birmingham\, UK)
DTSTART;VALUE=DATE-TIME:20240304T150000Z
DTEND;VALUE=DATE-TIME:20240304T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/59
DESCRIPTION:Title: S
kew Axial Algebras of Monster Type\nby Michael Turner (University of B
irmingham\, UK) as part of European Non-Associative Algebra Seminar\n\nInt
eractive livestream: https://us02web.zoom.us/j/7803181064\n\nAbstract\nGiv
en a 2-generated primitive axial algebra of Monster Type\, it has been sho
wn that it has an axet which is regular or skew. With all the known exampl
es being regular\, it was proposed if any axial algebra were skew and if s
o\, can they be classified. We will begin by defining axial algebras and a
xets\, before producing examples of axial algebras with skew axets. We wil
l finish by stating the complete classification of these skew axial algebr
as and mention how it was proven.\n
LOCATION:https://researchseminars.org/talk/ENAAS/59/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:María Alejandra Alvarez (University of Antofagasta\, Chile)
DTSTART;VALUE=DATE-TIME:20240311T150000Z
DTEND;VALUE=DATE-TIME:20240311T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/60
DESCRIPTION:Title: O
n S-expansions and other transformations of Lie algebras\nby María Al
ejandra Alvarez (University of Antofagasta\, Chile) as part of European No
n-Associative Algebra Seminar\n\nInteractive livestream: https://us02web.z
oom.us/j/7803181064\n\nAbstract\nThe aim of this work is to study the rela
tion between S-expansions and other transformations of Lie algebras. In pa
rticular\, we prove that contractions\, deformations and central extension
s of Lie algebras are preserved by S-expansions. We also provide several e
xamples and give conditions so transformations of reduced subalgebras of S
-expanded algebras are preserved by the S-expansion procedure. This is a j
oint work with Javier Rosales-Gómez.\n
LOCATION:https://researchseminars.org/talk/ENAAS/60/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mikhail Ignatyev (HSE University\, Russia)
DTSTART;VALUE=DATE-TIME:20240318T150000Z
DTEND;VALUE=DATE-TIME:20240318T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/61
DESCRIPTION:by Mikhail Ignatyev (HSE University\, Russia) as part of Europ
ean Non-Associative Algebra Seminar\n\nInteractive livestream: https://us0
2web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ENAAS/61/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Samuel Lopes (University of Porto\, Portugal)
DTSTART;VALUE=DATE-TIME:20240325T150000Z
DTEND;VALUE=DATE-TIME:20240325T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/62
DESCRIPTION:Title: T
he Gerstenhaber algebra structure on the Hochschild cohomology of a family
of subalgefbras of the Weyl algebra.\nby Samuel Lopes (University of
Porto\, Portugal) as part of European Non-Associative Algebra Seminar\n\nI
nteractive livestream: https://us02web.zoom.us/j/7803181064\n\nAbstract\nT
he Hochschild cohomology of an associative algebra has a rich structure gi
ven by the cup product and the Gerstenhaber bracket. This structure is in
general difficult to compute explicitly\, as it is most naturally defined
on the bar complex\, although the bar resolution is most often too big to
allow for explicit computations. In this talk\, based on joint works with
G. Benkart\, M. Ondrus and A. Solotar\, we will discuss the Gerstenhaber
algebra structure on the Hochschild cohomology of the unital associative a
lgebra with generators $x$ and $y$\, and defining relation $yx-xy=h(x)$\,
where $h$ is a polynomial. In case the base field has zero characteristic\
, we will relate this structure with the Witt and Virasoro Lie algebras an
d with the intermediate series modules for the latter.\n
LOCATION:https://researchseminars.org/talk/ENAAS/62/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Saeid Azam (University of Isfahan\, Iran)
DTSTART;VALUE=DATE-TIME:20240401T150000Z
DTEND;VALUE=DATE-TIME:20240401T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/63
DESCRIPTION:by Saeid Azam (University of Isfahan\, Iran) as part of Europe
an Non-Associative Algebra Seminar\n\nInteractive livestream: https://us02
web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ENAAS/63/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bernard Rybołowicz (Heriot-Watt University\, UK)
DTSTART;VALUE=DATE-TIME:20240408T150000Z
DTEND;VALUE=DATE-TIME:20240408T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/64
DESCRIPTION:by Bernard Rybołowicz (Heriot-Watt University\, UK) as part o
f European Non-Associative Algebra Seminar\n\nInteractive livestream: http
s://us02web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ENAAS/64/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Paola Stefanelli (University of Salento\, Italy)
DTSTART;VALUE=DATE-TIME:20240415T150000Z
DTEND;VALUE=DATE-TIME:20240415T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/65
DESCRIPTION:by Paola Stefanelli (University of Salento\, Italy) as part of
European Non-Associative Algebra Seminar\n\nInteractive livestream: https
://us02web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ENAAS/65/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stéphane Launois (University of Kent\, UK)
DTSTART;VALUE=DATE-TIME:20240422T150000Z
DTEND;VALUE=DATE-TIME:20240422T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/66
DESCRIPTION:by Stéphane Launois (University of Kent\, UK) as part of Euro
pean Non-Associative Algebra Seminar\n\nInteractive livestream: https://us
02web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ENAAS/66/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
BEGIN:VEVENT
SUMMARY:Manoj Yadav (Harish-Chandra Research Institute\, India)
DTSTART;VALUE=DATE-TIME:20240429T150000Z
DTEND;VALUE=DATE-TIME:20240429T160000Z
DTSTAMP;VALUE=DATE-TIME:20231211T003358Z
UID:ENAAS/67
DESCRIPTION:by Manoj Yadav (Harish-Chandra Research Institute\, India) as
part of European Non-Associative Algebra Seminar\n\nInteractive livestream
: https://us02web.zoom.us/j/7803181064\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/ENAAS/67/
URL:https://us02web.zoom.us/j/7803181064
END:VEVENT
END:VCALENDAR