Local action of the symmetric group and the twisted Yang-Baxter relation

Details Local action of the symmetric group and the twisted Yang-Baxter relation Local action of the symmetric group and the twisted Yang-Baxter relation

2001-10-24

arxiv.org/abs/math/0110268v2

Mathematics

Quantum Algebra

15 pages, AMSTex, minor changes

Scientific paper

The generalization of the the Yang-Baxter relation is proposed. In this generalization the spectral parameters of the particles change after the scattering. The corresponding algebraic structures are discussed. The corresponding action of the symmetric group is studied. The most interesting examples of such action are connected with factorization of matrix polynomials and matrix $theta$-functions. The generalization of the star-triangle relation is also proposed.

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