Reflections and quotients in Coxeter groups
Group Theory
2024-12-23 v2 Combinatorics
Abstract
We present a formula relating the set of left descents of an element of a Coxeter group with the sets of left descents of its projections on maximal quotients indexed by simple right descents. This formula is an instance of a general result involving quotients and descents.
Keywords
Cite
@article{arxiv.2405.10985,
title = {Reflections and quotients in Coxeter groups},
author = {Paolo Sentinelli},
journal= {arXiv preprint arXiv:2405.10985},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2401.02324