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arXiv · 0908.1044

Modular invariants for group-theoretical modular data. I

Alexei Davydov
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Abstract

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 group-theoretical 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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Alexei Davydov. 2009-08-07. Modular invariants for group-theoretical modular data. I. https://arxiv.org/abs/0908.1044

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