Module categories over graded fusion categories

Ehud Meir*, Evgeny Musicantov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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, α) 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.

Original languageEnglish
Pages (from-to)2449-2466
Number of pages18
JournalJournal of Pure and Applied Algebra
Issue number11
StatePublished - Nov 2012


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