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SUMMARY:Sandro Mattarei (University of Lincoln\, UK)
DTSTART:20230612T150000Z
DTEND:20230612T160000Z
DTSTAMP:20260423T052459Z
UID:ENAAS/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/23/">G
 raded Lie algebras of maximal class</a>\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/
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