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

Abstract

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 explicit combinatorial description of the first three consecutive factors of the lower central series of the group $R{C}_K$.

10 pages

References in corpus (1)

• Algebraic invariants for right-angled Artin groups