Representation theory of a Class of Hopf algebras

Details Representation theory of a Class of Hopf algebras Representation theory of a Class of Hopf algebras

2009-08-06

arxiv.org/abs/0908.0910v1

Mathematics

Rings and Algebras

20pages

Scientific paper

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

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