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SUMMARY:Modular representations of gl_n - Simon Goodwin\, Birmingham
DTSTART:20151118T163000Z
DTEND:20151118T173000Z
UID:TALK61038@talks.cam.ac.uk
CONTACT:David Stewart
DESCRIPTION:Finite dimensional representations of simple Lie algebras over
  the complex numbers have been well understood for a long time.  However\,
  the representation theory of of Lie algebras of simple algebraic groups o
 ver field of positive characteristic is less well understood.  We'll start
  by surveying the known theory of modular representations of simple Lie al
 gebras including reduced enveloping algebras before explaining Premet's ap
 proach via W-algebras.  We'll focus of the case of the general linear Lie 
 algebra gl_n\, and in this case explain joint work with Lewis Topley in wh
 ich we have classified the minimal dimensional modules for reduced envelop
 ing algebras.\n
LOCATION:MR12
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