Modular invariants for group-theoretical modular data. I

Alexei Davydov

    Research output: Contribution to journalArticle

    17 Citations (Scopus)

    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.
    Original languageEnglish
    Pages (from-to)1321-1348
    Number of pages28
    JournalJournal of Algebra
    Volume323
    Issue number5
    DOIs
    Publication statusPublished - 2010

    Keywords

    • Modular categories
    • Modular invariants

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