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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)
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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
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\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
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1996805}
\zmath{https://zbmath.org/?q=an:1052.81050}
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  • This publication is cited in the following 10 articles:
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