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SUMMARY:Michael Lau (Laval University\, Canada)
DTSTART:20260420T150000Z
DTEND:20260420T160000Z
DTSTAMP:20260423T035717Z
UID:ENAAS/170
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/170/">
 Lie algebra representations and free Jordan algebras</a>\nby Michael Lau (
 Laval University\, Canada) as part of European Non-Associative Algebra Sem
 inar\n\n\nAbstract\nFor any unital Jordan algebra\, the famous Tits-Kantor
 -Koecher construction produces an sl(2)-graded Lie algebra.  We will look 
 at weight modules for universal central extensions of these algebras\, con
 centrating on categories of modules satisfying combinatorial dominance or 
 smoothness conditions.  We describe some finiteness results for algebras a
 nd Weyl modules in these contexts.  Surprisingly\, the proofs of several o
 f our results use Zelmanov's theorem on nil Jordan algebras of bounded ind
 ex.  This talk is based on joint work with Olivier Mathieu.\n
LOCATION:https://researchseminars.org/talk/ENAAS/170/
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