TY - JOUR
T1 - Quantum yang-baxter equation, braided semigroups, and dynamical Yang-Baxter maps
AU - Matsumoto, Diogo Kendy
AU - Shibukawa, Youichi
PY - 2015/6/1
Y1 - 2015/6/1
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.
KW - Braided semigroups
KW - Dynamical Yang-Baxter maps
KW - Left quasigroups
KW - Quantum Yang-Baxter equations
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M3 - Article
AN - SCOPUS:84942413868
SN - 0387-3870
VL - 38
SP - 227
EP - 237
JO - Tokyo Journal of Mathematics
JF - Tokyo Journal of Mathematics
IS - 1
ER -