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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
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
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
Linking options:
https://www.mathnet.ru/eng/mmj78 https://www.mathnet.ru/eng/mmj/v3/i1/p97
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Abstract page: | 385 | References: | 60 |
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