Fusion operators and cocycloids in monoidal categories

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    Abstract

    The Yang-Baxter equation has been studied extensively in the context of monoidal categories. The fusion equation, which appears to be the Yang-Baxter equation with a term missing, has been studied mainly in the context of Hubert spaces. This paper endeavours to place the fusion equation in an appropriate categorical setting. Tricocycloids are defined; they are new mathematical structures closely related to Hopf algebras.

    Original languageEnglish
    Pages (from-to)177-191
    Number of pages15
    JournalApplied Categorical Structures
    Volume6
    Issue number2
    DOIs
    Publication statusPublished - Jun 1998

    Keywords

    • 3-cocycle
    • Bialgebra
    • Braiding
    • Fusion equation
    • Hopf algebra
    • Monoidal category
    • String diagram
    • Tannaka duality
    • Tensor category

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