Quantum doubles of certain rank two pointed Hopf algebras

Details Quantum doubles of certain rank two pointed Hopf algebras Quantum doubles of certain rank two pointed Hopf algebras

2007-05-23

arxiv.org/abs/0705.3275v2

Mathematics

Rings and Algebras

This paper has been withdrawn by the author. withdrawn to be reviewed

Scientific paper

A certain class of rank two pointed Hopf algebras is considered. The simple modules of their Drinfel'd double is described using Radford's method \cite{rad}. The socle of the tensor product of two such modules is computed and a formula similar to the one in \cite{one} is obtained in some conditions. Cases when such a tensor product is completely irreducible are also given in the last section.

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