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Quantum Yang-Baxter Equation, Braided Semigroups, and Dynamical Yang-Baxter Maps

期刊

TOKYO JOURNAL OF MATHEMATICS
卷 38, 期 1, 页码 227-237

出版社

TOKYO JOURNAL MATHEMATICS EDITORIAL OFFICE ACAD CENTER
DOI: 10.3836/tjm/1437506246

关键词

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

资金

  1. KAKENHI [22540001]
  2. Grants-in-Aid for Scientific Research [22540001] Funding Source: KAKEN

向作者/读者索取更多资源

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.

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