On consecutive factors of the lower central series of right-angled Coxeter groups

2025/04/14 by Yakov Veryovkin, Veryovkin, Yakov, Temurbek Anasbekovich Rahmatullaev +1
Mathematics · #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2504.10736

Abstract

We study the lower central series of the right-angled Coxeter group RC_\mathcal K and the corresponding associated graded Lie algebra L(RC_\mathcal K) and describe the basis of the fourth graded component of L(RC_\mathcal K) for any \mathcal K.

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