Relativistic elliptic matrix tops and finite Fourier transformations

DOI10.1142/S0217732317501693zbMath1378.70020arXiv1706.05601OpenAlexW2691551120MaRDI QIDQ3130337

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Publication date: 22 January 2018

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

Full work available at URL: https://arxiv.org/abs/1706.05601

zbMATH Keywords

elliptic integrable systems

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (6)

Relativistic interacting integrable elliptic tops ⋮ Higher-rank generalization of the 11-vertex rational \(R\)-matrix: IRF-vertex relations and the associative Yang-Baxter equation ⋮ On R-matrix valued Lax pairs for Calogero–Moser models ⋮ Generalized model of interacting integrable tops ⋮ Calogero-Moser model and \(R\)-matrix identities ⋮ Lax equations for relativistic GL(NM,C) Gaudin models on elliptic curve

Cites Work

• Unnamed Item
• Planck constant as spectral parameter in integrable systems and KZB equations
• Modifications of bundles, elliptic integrable systems, and related problems
• Classical Yang-Baxter equation and the \(A_\infty\)-constraint
• Quantum Baxter-Belavin \(R\)-matrices and multidimensional Lax pairs for Painlevé VI
• Classical integrable systems and soliton equations related to eleven-vertex \(R\)-matrix
• Quadratic algebras related to elliptic curves
• The reduction problem and the inverse scattering method
• Hitchin systems -- symplectic Hecke correspondence and two-dimensional version
• Dynamical symmetry of integrable quantum systems
• The Yang-Baxter equation, symmetric functions, and Schubert polynomials
• Spectral duality between Heisenberg chain and Gaudin model
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• Dual moment maps into loop algebras
• Noncommutative extensions of elliptic integrable Euler–Arnold tops and Painlevé VI equation
• Yang–Baxter equations with two Planck constants
• EULER EQUATIONS ON FINITE-DIMENSIONAL LIE GROUPS

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