Computing reflection length in an affine Coxeter group
Abstract
In any Coxeter group, the conjugates of elements in its Coxeter generating set are called reflections and the reflection length of an element is its length with respect to this expanded generating set. In this article we give a simple formula that computes the reflection length of any element in any affine Coxeter group and we provide a simple uniform proof.
 Publication:

arXiv eprints
 Pub Date:
 October 2017
 arXiv:
 arXiv:1710.06920
 Bibcode:
 2017arXiv171006920B
 Keywords:

 Mathematics  Combinatorics;
 Mathematics  Group Theory
 EPrint:
 39 pages, 11 figures