Clifford theory for tensor categories

Details Clifford theory for tensor categories Clifford theory for tensor categories

2009-02-06

arxiv.org/abs/0902.1088v2

Mathematics

Quantum Algebra

Final version.

Scientific paper

A graded tensor category over a group $G$ will be called a strongly $G$-graded tensor category if every homogeneous component has at least one multiplicativily invertible object. Our main result is a description of the module categories over a strongly $G$-graded tensor category as induced from module categories over tensor subcategories associated with the subgroups of $G$.

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