English

Distinguished conjugacy classes and elliptic Weyl group elements

Representation Theory 2013-05-31 v2

Abstract

We define and study a correspondence between the set of distinguished G^0-conjugacy classes in a fixed connected component of a reductive group G (with G^0 almost simple) and the set of (twisted) elliptic conjugacy classes in the Weyl group. We also prove a homogeneity property related to this correspondence.

Keywords

Cite

@article{arxiv.1304.4463,
  title  = {Distinguished conjugacy classes and elliptic Weyl group elements},
  author = {G. Lusztig},
  journal= {arXiv preprint arXiv:1304.4463},
  year   = {2013}
}

Comments

65 pages. Version 2 includes also exceptional groups

R2 v1 2026-06-22T00:00:39.107Z