Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Ver19}
\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 Trudy 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}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4017601}
\elib{https://elibrary.ru/item.asp?id=41678855}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2019
\vol 305
\pages 53--62
\crossref{https://doi.org/10.1134/S0081543819030040}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000491421700004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85073509333}
Linking options:
  • https://www.mathnet.ru/eng/tm3992
  • https://doi.org/10.4213/tm3992
  • https://www.mathnet.ru/eng/tm/v305/p61
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024