Modular invariants for group-theoretical modular data. I
The main goal of the paper is to classify indecomposable commutative separable algebras and their local modules in group-theoretical modular categories. This gives the description of the modular invariants for group-theoretical modular data and an answer to the question when and in how many ways two group-theoretical modular categories are equivalent as ribbon categories. The case of group-theoretical modular data for the symmetric group \(S_3\) is treated as an example.
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