Weak Hopf monoids in braided monoidal categories

Craig Pastro*, Ross Street

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    13 Citations (Scopus)

    Abstract

    We develop the theory of weak bimonoids in braided monoidal categories and show that they are in one-to-one correspondence with quantum categories with a separable Frobenius object-of-objects. Weak Hopf monoids are shown to be quantum groupoids. Each separable Frobenius monoid R leads to a weak Hopf monoid ⊗R.

    Original languageEnglish
    Pages (from-to)149-207
    Number of pages59
    JournalAlgebra and Number Theory
    Volume3
    Issue number2
    DOIs
    Publication statusPublished - 2009

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