A class of solutions to the quantum colored Yang-Baxter equation

DOI10.1016/j.jmaa.2007.02.088zbMath1139.81031OpenAlexW2061363799MaRDI QIDQ2481913

Yichao Xu, Tianze Wang

Publication date: 15 April 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.02.088

zbMATH Keywords

general solutionYang-Baxter equationquantum colored Yang-Baxter equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

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• Quantum group interpretation of some conformal field theories
• General solution of a kind of quantum coloured Yang-Baxter equation. I.
• The Yang-Baxter equation and invariants of links
• Quantum affine algebras and holonomic difference equations
• Partition function of the eight-vertex lattice model
• THE FREE–FERMION MODEL IN PRESENSE OF FIELD RELATED TO THE QUANTUM GROUP ${\mathcal U}_q(\widehat{sl}_2)$ OF AFFINE TYPE AND THE MULTI–VARIABLE ALEXANDER POLYNOMIAL OF LINKS
• Classification of eight-vertex solutions of the coloured Yang - Baxter equation
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• Knot Invariants and the Critical Statistical Systems

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