The nondynamical \(r\)-matrix for the Ruijsenaars-Schneider model and the classical Sklyanin algebra.

DOI10.1016/S0375-9601(99)00645-3zbMath1044.81604OpenAlexW1978934409MaRDI QIDQ1967005

Bo-Yu Hou, Wen-Li Yang

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00645-3

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

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• The sine-Gordon solitons as an \(N\)-body problem
• Action-angle maps and scattering theory for some finite-dimensional integrable systems. I: The pure soliton case
• Ruijsenaars' commuting difference operators as commuting transfer matrices
• On trigonometric intertwining vectors and non-dynamical \(R\)-matrix for the Ruijsenaars model
• Integrable time-discretization of the Ruijsenaars-Schneider model
• Why is the Ruijsenaars-Schneider hierarchy governed by the same \(R\)-operator as the Calogero-Moser one?
• Algebras connected with the Z n elliptic solution of the Yang–Baxter equation
• The non-dynamicalr-matrix structure for the elliptic Calogero-Moser model
• Dynamicalr-matrix for the elliptic Ruijsenaars - Schneider system

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