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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63986New 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.9 pages, to appear in Moscow Math JournalQuantum AlgebraSet-theoretical solutions to the Yang-Baxter Relation from factorization of matrix polynomials and $θ$-functionstext