Centres of monoidal categories of functors

Brian Day*, Ross Street

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

    Abstract

    This paper explores when the (lax) centre of a closed monoidal (enriched) functor category is again a functor category. For some of this, we exploit the Kleisli construction in the bicategory of modules between enriched categories. We look at (lax) centres of reflective full subcategories of monoidal functor categories. A result is obtained concerning the centre of the pointwise tensor product structure on the category of functors from a groupoid to a wide class of monoidal categories.

    Original languageEnglish
    Title of host publicationCategories in algebra, geometry and mathematical physics
    EditorsAlexei Davydov, Michael Batanin, Michael Johnson, Stephen Lack, Amnon Neeman
    Place of PublicationProvidence, RI
    PublisherAMER MATHEMATICAL SOC
    Pages187-202
    Number of pages16
    Volume431
    ISBN (Electronic)9780821881101
    ISBN (Print)9780821839706
    DOIs
    Publication statusPublished - 2007
    EventConference on Categories in Algebra, Geometry and Mathematical Physics held in Honor of Ross Streets 60th Birthday - Sydney, Australia
    Duration: 11 Jul 200516 Jul 2005

    Publication series

    NameCONTEMPORARY MATHEMATICS SERIES
    PublisherAMER MATHEMATICAL SOC
    Volume431
    ISSN (Print)0271-4132

    Conference

    ConferenceConference on Categories in Algebra, Geometry and Mathematical Physics held in Honor of Ross Streets 60th Birthday
    CountryAustralia
    CitySydney
    Period11/07/0516/07/05

    Keywords

    • monoidal category
    • braiding
    • centre
    • promonad
    • promonoidal category
    • Hopf algebra
    • fibration
    • convolution
    • Kleisli construction
    • enriched category
    • TENSOR CATEGORIES

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