Strata and almost special representations

2024/07/30 by Lusztig, G.
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2407.20960

Abstract

We show how to attach to any stratum of a reductive group a (small) finite group. We also show that in the simply laced case the set of strata is in bijection with a subset of the set of almost special representations of the Weyl group. (This is the same as version 1 except that the abstract has been corrected.)

Related

• Distinguished strata in a reductive group
• Rigid strata in a reductive group
• From classes in the Weyl group to strata
• On conjugacy classes in a reductive group
• Unipotent character sheaves and strata of a reductive group, II