Tortile Yang-Baxter operators in tensor categories

André Joyal*, Ross Street

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    104 Citations (Scopus)


    The free tortile tensor category T on one generating object is shown here, by purely algebraic techniques, to also be the free tensor category containing an object equipped with a tortile Yang-Baxter operator. Shum has a geometric characterization of T as the category whose arrows are tangled ribbons. This alternative universal property can be used to construct representations of T.

    Original languageEnglish
    Pages (from-to)43-51
    Number of pages9
    JournalJournal of Pure and Applied Algebra
    Issue number1
    Publication statusPublished - 29 Apr 1991


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