scientific article; zbMATH DE number 2150996

zbMath1065.14043arXivmath/0212210MaRDI QIDQ4660493

Alexander Odesskii

Publication date: 4 April 2005

Full work available at URL: https://arxiv.org/abs/math/0212210

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zbMATH Keywords

symplectic leaveselliptic algebrasCasimir elementsLenard scheme

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Poisson algebras (17B63)

Related Items (5)

Feigin-Odesskii brackets, syzygies, and Cremona transformations ⋮ Poisson structures on loop spaces of \(\mathbb{C} P^n\) and an \(r\)-matrix associated with the universal elliptic curve ⋮ Elliptic bihamiltonian structures from relative shifted Poisson structures ⋮ Hitchin and Beauville-Mukai system: classical and quantum correspondence ⋮ On the Heisenberg invariance and the elliptic Poisson tensors

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