Quantum doubles of certain rank two pointed Hopf algebras
Abstract
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 rad. The socle of the tensor product of two such modules is computed and a formula similar to the one in 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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