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.
Citation
Diogo Kendy MATSUMOTO. Youichi SHIBUKAWA. "Quantum Yang-Baxter Equation, Braided Semigroups, and Dynamical Yang-Baxter Maps." Tokyo J. Math. 38 (1) 227 - 237, June 2015. https://doi.org/10.3836/tjm/1437506246
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