Geodesic
The Associated Lie Algebra of a Right-Angled Coxeter Group
Informatics and Automation, Algebraic topology, combinatorics, and mathematical physics, Tome 305 (2019), pp. 61-70

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We study the lower central series of a right-angled Coxeter group $\mathrm {RC}_\mathcal K$ and the associated graded Lie algebra $L(\mathrm {RC}_\mathcal K)$. The latter is related to the graph Lie algebra $L_\mathcal K$. We give an explicit combinatorial description of the first three consecutive factors of the lower central series of the group $\mathrm {RC}_\mathcal K$. 
@article{TRSPY_2019_305_a3,
     author = {Ya. A. Veryovkin},
     title = {The {Associated} {Lie} {Algebra} of a {Right-Angled} {Coxeter} {Group}},
     journal = {Informatics and Automation},
     pages = {61--70},
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     volume = {305},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2019_305_a3/}
}
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Ya. A. Veryovkin. The Associated Lie Algebra of a Right-Angled Coxeter Group. Informatics and Automation, Algebraic topology, combinatorics, and mathematical physics, Tome 305 (2019), pp. 61-70. http://geodesic.mathdoc.fr/item/TRSPY_2019_305_a3/