Reflections and quotients in Coxeter groups

Fuente: arXiv
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Autore principale: Sentinelli, Paolo
Natura: Preprint
Pubblicazione: 2024
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author Sentinelli, Paolo
author_facet Sentinelli, Paolo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_10985
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Reflections and quotients in Coxeter groups
Sentinelli, Paolo
Group Theory
Combinatorics
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.
title Reflections and quotients in Coxeter groups
topic Group Theory
Combinatorics
url https://arxiv.org/abs/2405.10985