On the tensor product of bimodule categories over Hopf algebras

Abstract

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.

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

References in corpus (2)

• Monoidal 2-structure of Bimodule Categories
• Sufficient Conditions for Low-rank Matrix Recovery, Translated from Sparse Signal Recovery