## Clifford theory for tensor categories

Galindo, César
##### Description
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 $G$.
Comment: Final version.
##### Keywords
Mathematics - Quantum Algebra, Mathematics - Category Theory