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Tr. Mat. Inst. Steklova, 2019, Volume 305, Pages 61–70 (Mi tm3992)  

The Associated Lie Algebra of a Right-Angled Coxeter Group

Ya. A. Veryovkin

Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia

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.


DOI: https://doi.org/10.4213/tm3992

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English version:
Proceedings of the Steklov Institute of Mathematics, 2019, 305, 53–62

Bibliographic databases:

UDC: 515.14+515.16+512.54
Received: December 25, 2018
Revised: February 5, 2019
Accepted: March 2, 2019

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, Tr. 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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\by Ya.~A.~Veryovkin
\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 Tr. Mat. Inst. Steklova
\yr 2019
\vol 305
\pages 61--70
\publ Steklov Math. Inst. RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3992}
\crossref{https://doi.org/10.4213/tm3992}
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\jour Proc. Steklov Inst. Math.
\yr 2019
\vol 305
\pages 53--62
\crossref{https://doi.org/10.1134/S0081543819030040}
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