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SUMMARY:Giovanna Carnovale (University of Padua\, Italy)
DTSTART:20250414T150000Z
DTEND:20250414T160000Z
DTSTAMP:20260423T035934Z
UID:ENAAS/119
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ENAAS/119/">
 Nichols algebras over simple groups</a>\nby Giovanna Carnovale (University
  of Padua\, Italy) as part of European Non-Associative Algebra Seminar\n\n
 \nAbstract\nNichols (small shuffle) algebras are a family of graded algebr
 as including the symmetric algebras\, the exterior algebras\, the positive
  part of quantized enveloping algebras.  They are defined by generators an
 d relations that depend on a vector space V and a solution of the braid eq
 uation on V\\otimes V. A subclass of them\, which is relevant for the clas
 sification program of finite-dimensional Hopf algebras developed by Andrus
 kiewitsch and Schneider\, consists of those for which the solution of the 
 braid equation stems from a suitable graded representation of a finite gro
 up G. A folklore conjecture states that there are no non-trivial finite-di
 mensional Nichols algebras in this family if G is a non-abelian simple gro
 up. I will report on progress on this conjecture\, based on a collaboratio
 ns  with N. Andruskiewitsch\, G. García and M. Costantini.\n
LOCATION:https://researchseminars.org/talk/ENAAS/119/
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