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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 305, Pages 61–70
DOI: https://doi.org/10.4213/tm3992 (Mi tm3992) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Associated Lie Algebra of a Right-Angled Coxeter Group

Ya. A. Veryovkin

Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
Full-text PDF (224 kB) Citations (3)
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DOI: https://doi.org/10.4213/tm3992
Abstract: 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 $\mathrm {RC}_\mathcal K$.
Funding agency Grant number
Russian Foundation for Basic Research 16-51-55017
17-01-00671
The work was supported by the Russian Foundation for Basic Research, project nos. 16-51-55017 and 17-01-00671.
Received: December 25, 2018
Revised: February 5, 2019
Accepted: March 2, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 305, Pages 53–62
DOI: https://doi.org/10.1134/S0081543819030040
Bibliographic databases:
Document Type: Article
UDC: 515.14+515.16+512.54
Language: Russian
Citation: Ya. A. Veryovkin, “The Associated Lie Algebra of a Right-Angled Coxeter Group”, Algebraic topology, combinatorics, and mathematical physics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 305, Steklov Math. Inst. RAS, Moscow, 2019, 61–70; Proc. Steklov Inst. Math., 305 (2019), 53–62
Citation in format AMSBIB
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\paper The Associated Lie Algebra of a Right-Angled Coxeter Group
\inbook Algebraic topology, combinatorics, and mathematical physics
\bookinfo Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2019
\vol 305
\pages 61--70
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    • This publication is cited in the following 3 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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