Quantum yang-baxter equation, braided semigroups, and dynamical Yang-Baxter maps

Diogo Kendy Matsumoto, Youichi Shibukawa

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    We prove that braided semigroups with suitable conditions can produce solutions to the quantum Yang-Baxter equation in every tensor category. As an application, some dynamical Yang-Baxter maps, set-theoretic solutions to a version of the quantum dynamical Yang-Baxter equation, are constructed.

    Original languageEnglish
    Pages (from-to)227-237
    Number of pages11
    JournalTokyo Journal of Mathematics
    Volume38
    Issue number1
    Publication statusPublished - 2015 Jun 1

    Keywords

    • Braided semigroups
    • Dynamical Yang-Baxter maps
    • Left quasigroups
    • Quantum Yang-Baxter equations

    ASJC Scopus subject areas

    • Mathematics(all)

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