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CATEGORIES:Algebra and Representation Theory Seminar
SUMMARY:Modular representations of gl_n - Simon Goodwin\,
Birmingham
DTSTART;TZID=Europe/London:20151118T163000
DTEND;TZID=Europe/London:20151118T173000
UID:TALK61038AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/61038
DESCRIPTION:Finite dimensional representations of simple Lie a
lgebras over the complex numbers have been well un
derstood for a long time. However\, the represent
ation theory of of Lie algebras of simple algebrai
c groups over field of positive characteristic is
less well understood. We'll start by surveying th
e known theory of modular representations of simpl
e Lie algebras including reduced enveloping algebr
as before explaining Premet's approach via W-algeb
ras. We'll focus of the case of the general linea
r Lie algebra gl_n\, and in this case explain join
t work with Lewis Topley in which we have classifi
ed the minimal dimensional modules for reduced env
eloping algebras.\n
LOCATION:MR12
CONTACT:David Stewart
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