TY - JOUR
T1 - Module categories over graded fusion categories
AU - Meir, Ehud
AU - Musicantov, Evgeny
PY - 2012/11
Y1 - 2012/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84861829198&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2012.03.014
DO - 10.1016/j.jpaa.2012.03.014
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AN - SCOPUS:84861829198
SN - 0022-4049
VL - 216
SP - 2449
EP - 2466
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 11
ER -