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SUMMARY:Yuly Billig (Carleton University\, Canada)
DTSTART:20240819T150000Z
DTEND:20240819T160000Z
DTSTAMP:20260423T021114Z
UID:ENAAS/87
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/87/">Q
 uasi-Poisson superalgebras</a>\nby Yuly Billig (Carleton University\, Cana
 da) as part of European Non-Associative Algebra Seminar\n\n\nAbstract\nIn 
 1985\, Novikov and Balinskii introduced what became known as Novikov algeb
 ras in an attempt to construct generalizations of Witt Lie algebra. To the
 ir disappointment\, Zelmanov showed that the only simple finite-dimensiona
 l Novikov algebra is one-dimensional (and corresponds to Witt algebra). Th
 e picture is much more interesting in the super case\, where there are man
 y more generalizations of Witt algebra\, called superconformal Lie algebra
 s. In 1988 Kac and Van de Leur gave a conjectural list of simple superconf
 ormal Lie algebras. Their list was amended with a Cheng-Kac superalgebra\,
  which was constructed several years later. However\, Novikov superalgebra
 s are not flexible enough to describe all simple superconformal Lie algebr
 as. In this talk\, we shall present the class of quasi-Poisson algebras. Q
 uasi-Poisson algebras have two products: it is a commutative associative (
 super)algebra\, a Lie (super)algebra\, and has an additional unary operati
 on\, subject to certain axioms. All known simple superconformal Lie algebr
 as arise from finite-dimensional simple quasi-Poisson superalgebras. In th
 is talk\, we shall present basic constructions\, describe the examples of 
 quasi-Poisson superalgebras\, and mention some results about their represe
 ntations.\n
LOCATION:https://researchseminars.org/talk/ENAAS/87/
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