Unipotent almost characters of simple p-adic groups

2012/12/28 by Lusztig, G.
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1212.6540

Abstract

Let G be a simple adjoint group and let K=k((ε)) where k is an algebraic closure of a finite field F_q. In this paper we define some geometric objects on G(K) which are similar to the (cohomology sheaves of) the unipotent character sheaves on G(k). Using these geometric objects we define the unipotent almost characters of G(K₀) where K₀=F_q((ε)) and state some conjectures relating them to the characters of unipotent representations of G(K₀).

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