Poisson reductions of master integrable systems on doubles of compact Lie groups
DOI10.1007/s00023-022-01260-3zbMath1519.37059arXiv2208.03728MaRDI QIDQ6045746
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Publication date: 12 May 2023
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.03728
dynamical \(r\)-matricesspin Ruijsenaars-Schneider modelsimply connected compact Lie groupspin Sutherland model
Symplectic manifolds (general theory) (53D05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Applications of Lie algebras and superalgebras to integrable systems (17B80) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
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