Notes on two-parameter quantum groups, (II)

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 $\text{mg}$. An equivalence of the braided tensor categories ${\text{O}}^{r,s}$ and ${\text{O}}^q$ is explicitly established.