English

On the Equivalence of Module Categories over a Group-Theoretical Fusion Category

Quantum Algebra 2017-06-20 v3

Abstract

We give a necessary and sufficient condition in terms of group cohomology for two indecomposable module categories over a group-theoretical fusion category C{\mathcal C} to be equivalent. This concludes the classification of such module categories.

Keywords

Cite

@article{arxiv.1608.04435,
  title  = {On the Equivalence of Module Categories over a Group-Theoretical Fusion Category},
  author = {Sonia Natale},
  journal= {arXiv preprint arXiv:1608.04435},
  year   = {2017}
}