Centre of an algebra

Alexei Davydov

    Research output: Contribution to journalArticle

    19 Citations (Scopus)

    Abstract

    Motivated by algebraic structures appearing in Rational Conformal Field Theory we study a construction associating to an algebra in a monoidal category a commutative algebra (full centre) in the monoidal centre of the monoidal category. We establish Morita invariance of this construction by extending it to module categories. As an example we treat the case of group-theoretical categories.
    Original languageEnglish
    Pages (from-to)319-348
    Number of pages30
    JournalAdvances in Mathematics
    Volume225
    Issue number1
    DOIs
    Publication statusPublished - 2010

    Keywords

    • Monoidal categories
    • Module categories
    • Commutative algebras in braided monoidal categories

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