Module categories over graded fusion categories

Details Module categories over graded fusion categories Module categories over graded fusion categories

2010-10-20

arxiv.org/abs/1010.4333v2

Mathematics

Quantum Algebra

23 pages

Scientific paper

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.

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