On Jordan Decomposition of Characters for SU(n,q)
Representation Theory
2011-12-30 v1 Group Theory
Abstract
As shown by Bonnaf\'e, a step in proving a Jordan decomposition of characters of finite special linear groups is the parametrization of unipotent characters of centralizers of semi-simple elements in projective linear groups. We show the same kind of result in the case of finite special unitary groups. The proof leads to a mild adaptation of Bonnaf\'e's methods expounded in [B99]. The outcome is a Jordan decomposition of characters compatible with Lusztig's twisted induction.
Keywords
Cite
@article{arxiv.1112.6035,
title = {On Jordan Decomposition of Characters for SU(n,q)},
author = {Marc Cabanes},
journal= {arXiv preprint arXiv:1112.6035},
year = {2011}
}
Comments
18 pages