A category of quantum categories

Dimitri Chikhladze

    Research output: Contribution to journalArticle

    2 Citations (Scopus)
    4 Downloads (Pure)

    Abstract

    Quantum categories were introduced in [5] as generalizations of both bi(co)algebroids and small categories. We clarify details of that work. In particular, we show explicitly how the monadic definition of a quantum category unpacks to a set of axioms close to the definitions of a bialgebroid in the Hopf algebraic literature. We introduce notions of functor and natural transformation for quantum categories and consider various constructions on quantum structures.
    Original languageEnglish
    Pages (from-to)1-37
    Number of pages37
    JournalTheory and Applications of Categories
    Volume25
    Issue number1
    Publication statusPublished - 2011

    Bibliographical note

    Copyright the Author(s) [2011]. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

    Keywords

    • Comonad
    • Monoidal category
    • Quantum category

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