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The commutator subalgebra of the Lie algebra associated with a right-angled Coxeter group
We study the graded Lie algebra $L(RC_K)$ associated with the lower central series of a right-angled Coxeter group. We construct a surjective homomorphism from the polynomial ring over an explicit Lie algebra $N_K$ to the commutator subalgebra of $L(RC_K)$, and conjecture that it is an isomorphism.
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