Module categories over finite pointed tensor categories
arXiv:1102.4882
Abstract
We study exact module categories over the representation categories of finite-dimensional quasi-Hopf algebras. As a consequence we classify exact module categories over some families of pointed tensor categories with cyclic group of invertible objets of order p, where p is a prime number.
32 pages. Accepted in Selecta Math NS. Typos and minor errors corrected
References in corpus (8)
- Calabi-Yau algebras
- Monoidal 2-structure of Bimodule Categories
- Basic quasi-Hopf algebras over cyclic groups
- From conformal embeddings to quantum symmetries: an exceptional SU(4) example
- Hopf algebras and finite tensor categories in conformal field theory
- Clifford theory for graded fusion categories
- Module categories over graded fusion categories
- Representations of the category of modules over pointed Hopf algebras over S_3 and S_4