English

On the tensor product of bimodule categories over Hopf algebras

Quantum Algebra 2012-04-09 v2

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.

Keywords

Cite

@article{arxiv.1111.1610,
  title  = {On the tensor product of bimodule categories over Hopf algebras},
  author = {Martin Mombelli},
  journal= {arXiv preprint arXiv:1111.1610},
  year   = {2012}
}

Comments

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