Local action of the symmetric group and the twisted YangBaxter relation
Abstract
The generalization of the the YangBaxter 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 startriangle relation is also proposed.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 October 2001
 arXiv:
 arXiv:math/0110268
 Bibcode:
 2001math.....10268O
 Keywords:

 Quantum Algebra
 EPrint:
 15 pages, AMSTex, minor changes