Module categories over graded fusion categories
Quantum Algebra
2011-02-14 v2
Abstract
Let C be a fusion category which is an extension of a fusion category D by a finite group G. We classify module categories over C in terms of module categories over D and the extension data (c,M,a) of C. We also describe functor categories over C (and in particular the dual categories of C). We use this in order to classify module categories over the Tambara Yamagami fusion categories, and their duals.
Cite
@article{arxiv.1010.4333,
title = {Module categories over graded fusion categories},
author = {Ehud Meir and Evgeny Musicantov},
journal= {arXiv preprint arXiv:1010.4333},
year = {2011}
}
Comments
23 pages