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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2022, Volume 318, Pages 31–42
DOI: https://doi.org/10.4213/tm4287 (Mi tm4287) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Graded Components of the Lie Algebra Associated with the Lower Central Series of a Right-Angled Coxeter Group

Ya. A. Veryovkinab

a International Laboratory of Algebraic Topology and Its Applications, Faculty of Computer Science, HSE University, Pokrovskii bul. 11, Moscow, 109028 Russia
b Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119991 Russia
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DOI: https://doi.org/10.4213/tm4287
Abstract: The lower central series of a right-angled Coxeter group $\mathrm {RC}_{\mathcal K}$ and the corresponding graded Lie algebra $L(\mathrm {RC}_{\mathcal K})$ associated with the lower central series of a right-angled Coxeter group are studied. Relations are obtained in the graded components of the Lie algebra $L(\mathrm {RC}_{\mathcal K})$. A basis of the fourth graded component of $L(\mathrm {RC}_{\mathcal K})$ for groups with at most four generators is described.
Funding agency Grant number
Russian Science Foundation 21-71-00049
This work is supported by the Russian Science Foundation under grant no. 21-71-00049, https://rscf.ru/project/21-71-00049/.
Received: March 24, 2022
Revised: May 11, 2022
Accepted: June 6, 2022
English version:
Proceedings of the Steklov Institute of Mathematics, 2022, Volume 318, Pages 26–37
DOI: https://doi.org/10.1134/S0081543822040034
Bibliographic databases:
Document Type: Article
UDC: 515.14
Language: Russian
Citation: Ya. A. Veryovkin, “Graded Components of the Lie Algebra Associated with the Lower Central Series of a Right-Angled Coxeter Group”, Toric Topology, Group Actions, Geometry, and Combinatorics. Part 2, Collected papers, Trudy Mat. Inst. Steklova, 318, Steklov Math. Inst., Moscow, 2022, 31–42; Proc. Steklov Inst. Math., 318 (2022), 26–37
Citation in format AMSBIB
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\by Ya.~A.~Veryovkin
\paper Graded Components of the Lie Algebra Associated with the Lower Central Series of a Right-Angled Coxeter Group
\inbook Toric Topology, Group Actions, Geometry, and Combinatorics. Part~2
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2022
\vol 318
\pages 31--42
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4287}
\crossref{https://doi.org/10.4213/tm4287}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4538833}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2022
\vol 318
\pages 26--37
\crossref{https://doi.org/10.1134/S0081543822040034}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85142138312}
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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