Reflections and quotients in Coxeter groups

2024/05/15 by Paolo Sentinelli, Sentinelli, Paolo
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2405.10985

openalex publication_date 2024/05/15 · openalex created_date 2024/05/22 · openalex updated_date 2026/07/28

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.

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