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

Diogo Kendy Matsumoto; Youichi Shibukawa

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

Diogo Kendy Matsumoto, Youichi Shibukawa

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	227-237
Number of pages	11
Journal	Tokyo Journal of Mathematics
Volume	38
Issue number	1
Publication status	Published - 2015 Jun 1

Keywords

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

ASJC Scopus subject areas

Mathematics(all)

Cite this

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

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.",

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N2 - 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.

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

Abstract

Keywords

ASJC Scopus subject areas

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