On Humphreys "parameterization of blocks" conjecture

Ami Braun (U. Haifa, Israel)

Wednesday 31st May, 2017 16:00-17:00 Maths 331B

Abstract

Let G be a connected ,semi-simple, simply connected  algebraic group over a field of prime characteristic  p, and  g=Lie(G) its Lie algebra. The above 1998  conjecture about blocks of the enveloping algebra U(g) of g ,was settled ,in case p is" very good" for G ,by K.Brown and  I.Gordon  in 2001.We shall indicate how the case of p being merely" good" is handled. In particular we shall describe the new results about the centre of U(g) which are crucial in the proof.

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