English

On the computation of character values for finite Chevalley groups of exceptional type

Representation Theory 2021-05-11 v2

Abstract

We discuss various computational issues around the problem of determining the character values of finite Chevalley groups, in the framework provided by Lusztig's theory of character sheaves. Some of the remaining open questions (concerning certain roots of unity) for the cuspidal unipotent character sheaves of groups of exceptional type are resolved.

Keywords

Cite

@article{arxiv.2105.00722,
  title  = {On the computation of character values for finite Chevalley groups of exceptional type},
  author = {Meinolf Geck},
  journal= {arXiv preprint arXiv:2105.00722},
  year   = {2021}
}

Comments

some minor corrections, adjusted a couple of references; main results unchanged