On the irreducible representations of generalized quantum doubles

Details On the irreducible representations of generalized quantum doubles On the irreducible representations of generalized quantum doubles

2012-02-20

arxiv.org/abs/1202.4315v1

Mathematics

Quantum Algebra

31 pages, submitted

Scientific paper

A description of all the irreducible representations of generalized quantum doubles associated to skew pairings of semisimple Hopf algebras is given. In particular a description of the irreducible representations of semisimple Drinfeld doubles is obtained. It is shown that the Grothendieck ring of these generalized quantum doubles have a structure similar to the rings that arise from Green functors. In order to do this we give a formula for the tensor product of any two such irreducible representations.

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