English

Climbing elements in finite coxeter groups

Combinatorics 2010-05-06 v1 Group Theory

Abstract

We define the notion of a climbing element in a finite real reflection group relative to a total order on the reflection set and we characterise these elements in the case where the total order arises from a bipartite Coxeter element.

Keywords

Cite

@article{arxiv.1005.0775,
  title  = {Climbing elements in finite coxeter groups},
  author = {Thomas Brady and Aisling Kenny and And Colum Watt},
  journal= {arXiv preprint arXiv:1005.0775},
  year   = {2010}
}

Comments

12 pages

R2 v1 2026-06-21T15:18:53.497Z