Module categories over graded fusion categories

2010/10/20 by Ehud Meir, Meir, Ehud, Evgeny Musicantov +1 · 2 citations
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.1010.4333

23 pages

arxiv created 2011/02/10 · arxiv updated 2011/02/14

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.

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