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Modular invariants for group-theoretical modular data. I
Published 7 Aug 2009 in math.QA and math.CT | (0908.1044v1)
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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