Frobenius monads and pseudomonoids

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    44 Citations (Scopus)

    Abstract

    Six equivalent definitions of Frobenius algebra in a monoidal category are provided. In a monoidal bicategory, a pseudoalgebra is Frobenius if and only if it is star autonomous. Autonomous pseudoalgebras are also Frobenius. What it means for a morphism of a bicategory to be a projective equivalence is defined; this concept is related to "strongly separable" Frobenius algebras and "weak monoidal Monta equivalence." Wreath products of Frobenius algebras are discussed.

    Original languageEnglish
    Pages (from-to)3930-3948
    Number of pages19
    JournalJournal of Mathematical Physics
    Volume45
    Issue number10
    DOIs
    Publication statusPublished - Oct 2004

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