Notes on two-parameter quantum groups, (II)

Abstract

This paper is the sequel to [HP1] to study the deformed structures and representations of two-parameter quantum groups $U_{r,s}(\mathfrak{g})$ associated to the finite dimensional simple Lie algebras $\mg$. An equivalence of the braided tensor categories $\O^{r,s}$ and $\O^{q}$ is explicitly established.