A ug 2 00 9 Modular invariants for group-theoretical modular data

@inproceedings{Davydov2009AU2,
  title={A ug 2 00 9 Modular invariants for group-theoretical modular data},
  author={Alexei Davydov},
  year={2009}
}
We classify indecomposable commutative separable (special Frobenius) algebras and their local modules in (untwisted) group-theoretical modular categories. This gives a description of modular invariants for grouptheoretical modular data. As a bi-product we provide an answer to the question when (and in how many ways) two group-theoretical modular categories are equivalent as ribbon categories. 

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