English

On the definition of unipotent representations

Representation Theory 2020-11-04 v1

Abstract

Let G be a connected reductive group over a finite field F_q. A map from irreducible representations of G(F_q) to semisimple classes in the dual group was defined by a cohomological method by Deligne and the author in 1976. Here we show that when q is large enough this map has an alternative (non-cohomological) definition.

Keywords

Cite

@article{arxiv.2011.01824,
  title  = {On the definition of unipotent representations},
  author = {G. Lusztig},
  journal= {arXiv preprint arXiv:2011.01824},
  year   = {2020}
}

Comments

3 pages