Representation theory of a Class of Hopf algebras

Abstract

The representations of the pointed Hopf algebras U and u are described, where U and u can be regarded as deformations of the usual quantized enveloping algebras U q (sl(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 (sl(2)) and those of the half quantum groups of sl(3).