%0 Journal Article %T Set-theoretical solutions to the Yang-Baxter Relation from factorization of matrix polynomials and $¦È$-functions %A Alexander Odesskii %J Mathematics %D 2002 %I arXiv %X 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. %U http://arxiv.org/abs/math/0205051v1