English

Morita equivalence methods in classification of fusion categories

Quantum Algebra 2012-08-07 v1

Abstract

We describe an approach to classification of fusion categories in terms of Morita equivalence. This is usually achieved by analyzing Drinfeld centers of fusion categories and finding Tannakian subcategories therein.

Keywords

Cite

@article{arxiv.1208.0840,
  title  = {Morita equivalence methods in classification of fusion categories},
  author = {Dmitri Nikshych},
  journal= {arXiv preprint arXiv:1208.0840},
  year   = {2012}
}

Comments

This is a survey written for the Proceedings of the conference "Hopf Algebras and Tensor Categories" held in Almeria in July 2011. 36 pages