Harish-Chandra Cuspidal Pairs
Representation Theory
2022-02-07 v3
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.
Keywords
Cite
@article{arxiv.2012.09674,
title = {Harish-Chandra Cuspidal Pairs},
author = {Jay Taylor},
journal= {arXiv preprint arXiv:2012.09674},
year = {2022}
}
Comments
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