On the r-matrix structure of the hyperbolic BC n Sutherland model

DOI10.1063/1.4770323zbMath1331.17027arXiv1205.1029OpenAlexW2034618167MaRDI QIDQ2872429

Béla Gábor Pusztai

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1029

zbMATH Keywords

symplectic reductionLax representation

Mathematics Subject Classification ID

Related Items (2)

Scattering theory of the hyperbolic \(BC_n\) Sutherland and the rational \(BC_n\) Ruijsenaars-Schneider-Van Diejen models ⋮ On the classical \(r\)-matrix structure of the rational \(BC_n\) Ruijsenaars-Schneider-van Diejen system

Cites Work

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• Extension of the class of integrable dynamical systems connected with semisimple Lie algebras
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• Lax representation with spectral parameter on a torus for integrable particle systems
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• Why is the Ruijsenaars-Schneider hierarchy governed by the same \(R\)-operator as the Calogero-Moser one?
• A class of Calogero type reductions of free motion on a simple Lie group
• The non-dynamicalr-matrices of the degenerate Calogero-Moser models
• The dynamical twisting and nondynamical r-matrix structure of the elliptic Ruijsenaars–Schneider model
• An integrable BC(n) Sutherland model with two types of particles
• R-matrices and generalized inverses
• The non-dynamicalr-matrix structure for the elliptic Calogero-Moser model
• Dynamicalr-matrix for the elliptic Ruijsenaars - Schneider system
• Introduction to Classical Integrable Systems
• Classicalr-matrices and the Feigin–Odesskii algebra via Hamiltonian and Poisson reductions
• Dynamical R-matrices for Calogero models

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