Coxeter-like groups for groups of set-theoretic solutions of the Yang--Baxter equation

2013/05/16 by Patrick Dehornoy, Dehornoy, Patrick
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1305.3900

arxiv created 2013/05/16 · openalex publication_date 2013/05/16 · arxiv updated 2013/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We attach with every finite, involutive, nondegenerate set-theoretic solution of the Yang--Baxter equation a finite group that plays for the associated structure group the role that a finite Coxeter group plays for the associated Artin--Tits group.

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