English

Minimal length elements of finite Coxeter groups

Representation Theory 2019-12-19 v1

Abstract

We give a geometric proof that minimal length elements in a (twisted) conjugacy class of a finite Coxeter group WW have remarkable properties with respect to conjugation, taking powers in the associated Braid group and taking centralizer in WW.

Keywords

Cite

@article{arxiv.1108.0282,
  title  = {Minimal length elements of finite Coxeter groups},
  author = {Xuhua He and Sian Nie},
  journal= {arXiv preprint arXiv:1108.0282},
  year   = {2019}
}

Comments

19 pages

R2 v1 2026-06-21T18:44:43.610Z