On endomorphism algebras of separable monoidal functors

Brian Day*, Craig Pastro

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We show that the (co)endomorphism algebra of a sufficiently separable "fibre" functor into Vectκ, for κ a field of characteristic 0, has the structure of what we call a "unital" von Neumann core in Vectκ. For Vectκ, this particular notion of algebra is weaker than that of a Hopf algebra, although the corresponding concept in Set is again that of a group.

    Original languageEnglish
    Pages (from-to)77-96
    Number of pages20
    JournalTheory and Applications of Categories
    Volume22
    Publication statusPublished - 28 Jan 2009

    Keywords

    • Bialgebra
    • Separable fibre functor
    • Tannaka reconstruction
    • Von Neumann core

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