Publication details

On e-cuspidal pairs of finite groups of exceptional Lie type

authored by
Ruwen Hollenbach
Abstract

Let G be a simple, simply connected algebraic group of exceptional type defined over Fq with Frobenius endomorphism F:G→G. Let ℓ∤q be a good prime for G. We determine the number of irreducible Brauer characters in the quasi-isolated ℓ-blocks of GF. This is done by proving that generalized e-Harish-Chandra theory holds for the Lusztig series associated to quasi-isolated elements of G⁎F.

Organisation(s)
Institute of Algebra, Number Theory and Discrete Mathematics
Type
Article
Journal
Journal of Pure and Applied Algebra
Volume
226
ISSN
0022-4049
Publication date
01.2022
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Algebra and Number Theory
Electronic version(s)
https://doi.org/10.48550/arXiv.1905.10754 (Access: Open)
https://doi.org/10.1016/j.jpaa.2021.106781 (Access: Closed)