Degenerately integrable systems

DOI10.1007/s10958-016-2738-9zbMath1369.70035arXiv1509.00730OpenAlexW2963672837MaRDI QIDQ294992

Nicolai Reshetikhin

Publication date: 17 June 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.00730

zbMATH Keywords

Hamiltonian mechanicsCalogero-Moser systemdegenerate integrabilityrelativistic spin Ruijsenaars system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Poisson algebras (17B63)

Related Items (20)

Morphisms of double (quasi-)Poisson algebras and action-angle duality of integrable systems ⋮ Degenerate integrability of quantum spin Calogero-Moser systems ⋮ The tetrahexahedric angular Calogero model ⋮ From spinning conformal blocks to matrix Calogero-Sutherland models ⋮ Superintegrability of Generalized Toda Models on Symmetric Spaces ⋮ Poisson-Lie analogues of spin Sutherland models ⋮ Poisson reductions of master integrable systems on doubles of compact Lie groups ⋮ Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of \({\mathrm{U}}(n)\) ⋮ Relativistic interacting integrable elliptic tops ⋮ Hyperbolic spin Ruijsenaars-Schneider model from Poisson reduction ⋮ Integrable system of generalized relativistic interacting tops ⋮ Transformation of the Stäckel matrices preserving superintegrability ⋮ Trigonometric real form of the spin RS model of Krichever and Zabrodin ⋮ On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system ⋮ Reduction of divisors for classical superintegrable GL(3) magnetic chain ⋮ Global description of action-angle duality for a Poisson-Lie deformation of the trigonometric \(\mathrm {BC}_n\) Sutherland system ⋮ Reduction of a bi-Hamiltonian hierarchy on \(T^\ast\text{U}(n)\) to spin Ruijsenaars-Sutherland models ⋮ Superintegrable systems on moduli spaces of flat connections ⋮ Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction ⋮ Lagrangian and Hamiltonian structures in an integrable hierarchy and space-time duality

Cites Work

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