YANG-BAXTER EQUATION, ALGEBRAS AND BRAID GROUP FOR THE Zn-SYMMETRIC STATISTICAL MODEL

For the Zn-symmetric statistical model the Yang-Baxter equation and the equations for the operator representations is reduced to explicit spectroparameter-independent forms, and the quantum algebra for the representations is obtained. Moreover, we present some elliptic representations of braid group, which include a new trigonometric representation as degenerated case.