Climbing elements in finite Coxeter groups

  • Thomas Brady
  • Aisling Kenny
  • Colum Watt

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.

Published
2010-11-19
How to Cite
Brady, T., Kenny, A., & Watt, C. (2010). Climbing elements in finite Coxeter groups. The Electronic Journal of Combinatorics, 17(1), R156. https://doi.org/10.37236/428
Article Number
R156