English

Basic sets for unipotent blocks of finite reductive groups in bad characteristic

Representation Theory 2018-10-16 v2

Abstract

We show the existence of a unitriangular basic set for unipotent blocks simple reductive groups of classical type in bad characteristic with some exceptions. Then,we introduce an algorithm to count irreducible unipotent Brauer characters and we verify that this algorithm is effective for exceptional adjoint groups.

Keywords

Cite

@article{arxiv.1807.11325,
  title  = {Basic sets for unipotent blocks of finite reductive groups in bad characteristic},
  author = {Reda Chaneb},
  journal= {arXiv preprint arXiv:1807.11325},
  year   = {2018}
}