English

On the Bonnaf\'e--Dat--Rouquier Morita equivalence

Group Theory 2018-12-19 v1

Abstract

We prove that the cohomology group of a Deligne-Lusztig variety defines a Morita equivalence in a case which is not covered by the argument by Bonnaf\'e, Dat and Rouquier, specifically we consider the situation for semisimple elements in type DD whose centralizer has non-cyclic component group.

Keywords

Cite

@article{arxiv.1812.07354,
  title  = {On the Bonnaf\'e--Dat--Rouquier Morita equivalence},
  author = {Lucas Ruhstorfer},
  journal= {arXiv preprint arXiv:1812.07354},
  year   = {2018}
}