Yakov Veryovkin

collaborators

3 papers

math.GR2025

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

Yakov Veryovkin, Temur Rahmatullaev

We study the lower central series of the right-angled Coxeter group $R C_{K}$ and the corresponding associated graded Lie algebra $L (R C_{K})$ and describe the basis of…

math.GR2025

The commutator subalgebra of the Lie algebra associated with a right-angled Coxeter group

Fedor Vylegzhanin, Yakov Veryovkin

We study the graded Lie algebra $L (R C_{K})$ associated with the lower central series of a right-angled Coxeter group. We construct a surjective homomorphism from the polynomial ring…

math.GR2019

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

Yakov Veryovkin

We study the lower central series of a right-angled Coxeter group $R C_{K}$ and the associated Lie algebra $L (R C_{K})$ . The latter is related to the graph Lie algebra $L_{K}$ . We give an…