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Set-theoretical solutions to the Yang-Baxter Relation from factorization of matrix polynomials and $θ$-functions

Alexander Odesskii
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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 $θ$-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.

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Alexander Odesskii. 2002-05-06. Set-theoretical solutions to the Yang-Baxter Relation from factorization of matrix polynomials and $θ$-functions. https://arxiv.org/abs/math/0205051

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