Superintegrability of Generalized Toda Models on Symmetric Spaces

DOI10.1093/imrn/rnz160zbMath1497.37067arXiv1802.00356OpenAlexW2980112673MaRDI QIDQ5066813

Gus Schrader, Nicolai Reshetikhin

Publication date: 30 March 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.00356

zbMATH Keywords

Hamiltonian systemssuperintegrabilityPoisson varietyPoisson Lie structure

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) 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 Lie algebras and other algebraic structures (37J37)

Related Items (2)

Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of \({\mathrm{U}}(n)\) ⋮ Vector fields and invariants of the full symmetric Toda system

Cites Work

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