English

Stable basic sets for finite special linear and unitary group

Representation Theory 2017-06-30 v1

Abstract

In this paper we show, using Deligne-Lusztig theory and Kawanaka's theory of generalised Gelfand-Graev representations, that the decomposition matrix of the special linear and unitary group in non defining characteristic can be made unitriangular with respect to a basic set that is stable under the action of automorphisms.

Keywords

Cite

@article{arxiv.1706.09595,
  title  = {Stable basic sets for finite special linear and unitary group},
  author = {David Denoncin},
  journal= {arXiv preprint arXiv:1706.09595},
  year   = {2017}
}
R2 v1 2026-06-22T20:32:58.871Z