The Lie algebra associated with the lower central series of a right-angled Coxeter group
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algebracentralgrouplowerseriesassociatedcoxeterright-angled
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We study the lower central series of a right-angled Coxeter group $RC_K$ and the associated Lie algebra $L(RC_K)$. 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 $RC_K$.
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