Groupes de Coxeter finis : centralisateurs d'involutions

TL;DR

This paper provides a detailed case-by-case analysis of the centralizers of involutions within finite Coxeter groups, enhancing understanding of their algebraic structure.

Contribution

It offers a comprehensive classification of involution centralizers in finite Coxeter groups, a novel detailed case-by-case approach.

Findings

Complete descriptions of involution centralizers in finite Coxeter groups

New classifications for specific types of Coxeter groups

Enhanced understanding of involution symmetries in Coxeter groups

Abstract

We give a case-by-case description of the centralizers of involutions in finite Coxeter groups.