On the tensor product of bimodule categories over Hopf algebras

Mathematics – Quantum Algebra

Scientific paper

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21 pages. There was an error in the previous version. It was not possible to apply the results to non-Abelian groups

Scientific paper

Let H be a finite-dimensional Hopf algebra. We give a description of the
tensor product of bimodule categories over Rep(H). When the bimodule categories
are invertible this description can be given explicitly. We present some
consequences of this description in the case H is a pointed Hopf algebra.

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