Lax braidings and the lax centre

Brian Day*, Elango Panchadcharam, Ross Street

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contributionpeer-review

    Abstract

    The purpose of this work is to highlight the notions of lax braiding and lax centre for monoidal categories and more generally for promonoidal categories. Lax centres are lax braided. Generally the centre is a full subcategory of the lax centre, however we show that it is sometimes the case that the two coincide. We identify lax centres of monoidal functor categories in various cases.

    Original languageEnglish
    Title of host publicationHopf algebras and generalizations
    Subtitle of host publicationAMS special session on Hopf algebras at the crossroads of algebra, category theory, and topology
    EditorsLouis H. Kauffman, Louis H. Radford, Fernando J.0. Souza
    Place of PublicationProvidence, RI
    PublisherAMER MATHEMATICAL SOC
    Pages1-17
    Number of pages17
    Volume441
    ISBN (Print)9780821838204
    DOIs
    Publication statusPublished - 2007
    EventAMS Special Meeting on Hopf Algebras at the Crossroads of Algebra, Category Theory, and Topology - Evanston, Israel
    Duration: 23 Oct 200424 Oct 2004

    Publication series

    NameCONTEMPORARY MATHEMATICS SERIES
    PublisherAMER MATHEMATICAL SOC
    Volume441
    ISSN (Print)0271-4132

    Conference

    ConferenceAMS Special Meeting on Hopf Algebras at the Crossroads of Algebra, Category Theory, and Topology
    CountryIsrael
    CityEvanston
    Period23/10/0424/10/04

    Keywords

    • monoidal category
    • braiding
    • centre
    • Hopf algebra
    • convolution tensor product
    • TENSOR CATEGORIES
    • REPRESENTATIONS

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