Moscow Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find






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


Moscow Mathematical Journal, 2003, Volume 3, Number 1, Pages 97–103
DOI: https://doi.org/10.17323/1609-4514-2003-3-1-97-103
(Mi mmj78)
 

This article is cited in 10 scientific papers (total in 10 papers)

Set-theoretical solutions to the Yang–Baxter relation from factorization of matrix polynomials and $\theta$-functions

A. V. Odesskii

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF Citations (10)
References:
Abstract: New set-theoretical solutions to the Yang–Baxter Relation are constructed. These solutions arise from the decompositions “in different order” of matrix polynomials and $\theta$-functions. We also construct a “local action of the symmetric group” in these cases, generalizations of the action of the symmetric group $S_N$ given by the set-theoretical solution.
Key words and phrases: Yang–Baxter relation, set-theoretical solution, local action of the symmetric group, matrix polynomials, matrix $\theta$-functions.
Received: November 2, 2001; in revised form April 8, 2002
Bibliographic databases:
MSC: 81R50
Language: English
Citation: A. V. Odesskii, “Set-theoretical solutions to the Yang–Baxter relation from factorization of matrix polynomials and $\theta$-functions”, Mosc. Math. J., 3:1 (2003), 97–103
Citation in format AMSBIB
\Bibitem{Ode03}
\by A.~V.~Odesskii
\paper Set-theoretical solutions to the Yang--Baxter relation from factorization of matrix polynomials and $\theta$-functions
\jour Mosc. Math.~J.
\yr 2003
\vol 3
\issue 1
\pages 97--103
\mathnet{http://mi.mathnet.ru/mmj78}
\crossref{https://doi.org/10.17323/1609-4514-2003-3-1-97-103}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1996805}
\zmath{https://zbmath.org/?q=an:1052.81050}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208594100008}
Linking options:
  • https://www.mathnet.ru/eng/mmj78
  • https://www.mathnet.ru/eng/mmj/v3/i1/p97
  • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Moscow Mathematical Journal
    Statistics & downloads:
    Abstract page:385
    References:60
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024