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Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

Dynamical Yang-Baxter Maps Associated with Homogeneous Pre-Systems

Abstract

Noriaki Kamiya and Youichi Shibukawa

We construct dynamical Yang-Baxter maps, which are set-theoretical solutions to a version of the quantum dynamical Yang-Baxter equation, by means of homogeneous pre-systems, that is, ternary systems encoded in the reductive homogeneous space satisfying suitable conditions. Moreover, a characterization of these dynamical Yang- Baxter maps is presented.

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