Dynamical Yang-Baxter maps with an invariance condition

DOI10.2977/PRIMS/1201012384zbMath1153.81015arXiv0704.3109OpenAlexW2129361864MaRDI QIDQ945592

Youichi Shibukawa

Publication date: 12 September 2008

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3109

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Braid groups; Artin groups (20F36) Loops, quasigroups (20N05) Ternary systems (heaps, semiheaps, heapoids, etc.) (20N10)

Related Items (7)

Quiver-theoretical approach to dynamical Yang-Baxter maps ⋮ A characterization of modular law and distributive law of lattices by the Yang-Baxter maps ⋮ Relativistic collisions as Yang-Baxter maps ⋮ Discrete integrable systems associated with relativistic collisions ⋮ Dynamical braces and dynamical Yang-Baxter maps ⋮ Hopf algebroids and rigid tensor categories associated with dynamical Yang-Baxter maps ⋮ FRT construction for dynamical Yang-Baxter maps

Cites Work

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• Geometric Crystals and Set-Theoretical Solutions to the Quantum Yang-Baxter Equation
• A combinatorial approach to the set-theoretic solutions of the Yang–Baxter equation
• Some details of proofs of theorems related to the quantum dynamical Yang-Baxter equation

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