Representation theory of a Class of Hopf algebras

The representations of the pointed Hopf algebras $U$ and $\text{su}$ are described, where $U$ and $\text{su}$ can be regarded as deformations of the usual quantized enveloping algebras $U_q(\mathfrak{s}\mathfrak{l}(3))$ and the small quantum groups respectively. It is illustrated that these representations have a close connection with those of the quantized enveloping algebras $U_q(\mathfrak{s}\mathfrak{l}(2))$ and those of the half quantum groups of $\mathfrak{s}\mathfrak{l}(3)$.