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arXiv · 2208.07674

Graded components of the Lie algebra associated with the lower central series of a right-angled Coxeter group

Yakov Veryovkin
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Abstract

The lower central series of the rgiht-angled Coxeter group $RC_\mathcal K$ and the corresponding graded Lie algebra $L(RC_\mathcal K)$ associated with the lower central series of a right-angled Coxeter group are studied. Relations are obtained in the graded components of the Lie algebra $L(RC_\mathcal K)$. A basis of the fourth graded component $L(RC_\mathcal K)$ for groups with at most $4$ generators was described.

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Yakov Veryovkin. 2022-08-16. Graded components of the Lie algebra associated with the lower central series of a right-angled Coxeter group. https://arxiv.org/abs/2208.07674

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