English

Springer's work on unipotent classes and Weyl group representations

Representation Theory 2020-07-28 v2

Abstract

In this paper we discuss some of Springer's work on unipotent elements in a reductive groups and on representations of Weyl groups. Among the topics considered are Springer's bijection from the unipotent variety to the nilpotent variety, Springer's example of nonrationality of certain representations of the Hecke algebras associated to a Weyl group and the Springer representation of the Weyl group associated to a unipotent element.

Keywords

Cite

@article{arxiv.2007.11996,
  title  = {Springer's work on unipotent classes and Weyl group representations},
  author = {G. Lusztig},
  journal= {arXiv preprint arXiv:2007.11996},
  year   = {2020}
}

Comments

5 pages, bibliography added

R2 v1 2026-06-23T17:20:53.256Z