Trigonometric real form of the spin RS model of Krichever and Zabrodin

DOI10.1007/s00023-020-00976-4zbMath1468.37047arXiv2007.08388OpenAlexW3107877946MaRDI QIDQ2223562

Maxime Fairon, László Fehér, Ian Marshall

Publication date: 29 January 2021

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08388

zbMATH Keywords

Hamiltonian reductionHeisenberg doublePoisson-Lie groupRuijsenaars-Schneider system

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)

Related Items (6)

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 \({\mathrm{U}}(n)\) ⋮ The semi-direct product of Poisson \(G\)-spaces ⋮ A decoupling property of some Poisson structures on Matn×d(C)×Matd×n(C) supporting GL(n,C)×GL(d,C) Poisson–Lie symmetry ⋮ Bi-Hamiltonian structure of Sutherland models coupled to two u(n)* -valued spins from Poisson reduction ⋮ Lax equations for relativistic GL(NM,C) Gaudin models on elliptic curve

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