Harish-Chandra Cuspidal Pairs
arXiv:2012.09674 · doi:10.1016/j.indag.2021.09.006
Abstract
The irreducible characters of a finite reductive group are partitioned into Harish-Chandra series that are labelled by cuspidal pairs. In this note, we describe how one can algorithmically calculate those cuspidal pairs using results of Lusztig.
v3: post referee report, to appear in Indag Math. Developed the exposition, especially in 3.16, and added Prop. 2.14. v2: minor changes through. Consolidated the proof of Prop 2.9, added Lem 4.4 for clarity