A Note on Parabolic Subgroups of a Coxeter Group

2005/12/17 by Dongwen Qi, Qi, Dongwen · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.math/0512408

Abstract

The aim of this note is to prove that the parabolic closure of any subset of a Coxeter group is a parabolic subgroup. To obtain that, several technical lemmas on the root system of a parabolic subgroup are established.

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