A parametrization of unipotent representations

2021/11/16 by Lusztig, G.
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2111.08586

Abstract

We define a map from the unipotent representations of a split semisimple group over a finite field to (essentially) the set of pairs of left cells representations of the Weyl group in the same two-sided cell. We use this map to parametrize the unipotent representations.

Related

• Parametrizing unipotent representations
• Unipotent representations: changing q to -q
• Unipotent representations: changing q to -q, II
• Unipotent representations and the dual pair correspondence
• Unipotent classes and special Weyl group representations