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SUMMARY:Mykola Khrypchenko (Univesity of Porto\, Portugal)
DTSTART:20230904T150000Z
DTEND:20230904T160000Z
DTSTAMP:20260423T021125Z
UID:ENAAS/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/36/">T
 ransposed Poisson structures</a>\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/
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