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SUMMARY:A basis of the Gelfand-Graev algebra of a Chevalley group - Alessa
 ndro Paolini Birmingham University
DTSTART:20131129T150000Z
DTEND:20131129T160000Z
UID:TALK49219@talks.cam.ac.uk
CONTACT:Julian Brough
DESCRIPTION:G a finite group of Lie type\, B a Borel subgroup of G\, and U
  the unipotent radical of B. The endomorphism algebra of the induced modul
 e afforded by a linear regular character of U is called Gelfand-Graev alge
 bra. I will first recall some background about finite groups of Lie type a
 nd some representation theory. Then I move to the main feature of this tal
 k\, that is to show an explicit construction of a basis for the Gelfand-Gr
 aev algebra as a vector space\, for G a Chevalley group\, and to point out
  the efforts towards another proof of the commutativity of this algebra. I
 n fact\, the only known proof in literature cannot be used to get informat
 ion about similar algebras\, constructed from parabolic subgroups. I will 
 finish briefly explaining this kind of generalization.\n
LOCATION:CMS\, MR5
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