HYPERBOLIC COMPLEX YANG-BAXTER EQUATION AND HYPERBOLIC COMPLEX MULTIPARAMETRIC QUANTUM GROUPS

The hyperbolic complex Yang-Baxter equation is equivalent to a system consisting of two ordinary Yang-Baxter equations, and a hyperbolic complex quantum group is isomorphic to a direct product of two quantum groups. As a concrete example, the quantum group GL(H)(Gamma; xi(ij)) with hyperbolic complex multiparameter is isomorphic to a direct product of two quantum groups GL(X; q(ij)) and GL(Y; r(ij)) with ordinary multiparameter.