Linear bundles of Lie algebras and their applications

DOI10.1063/1.1319849zbMath0989.17021OpenAlexW2006943438MaRDI QIDQ2738288

No author found.

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1319849

zbMATH Keywords

Clebsch systemslinear bundles of Lie algebrasNeumann systemsPoisson-Lie tensors

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Applications of Lie algebras and superalgebras to integrable systems (17B80) Lie algebras and Lie superalgebras (17B99)

Related Items (4)

Lie bundle on the space of deformed skew-symmetric matrices ⋮ Tangent lifts of bi-Hamiltonian structures ⋮ ``Universal Lie algebra extensions and their Casimir invariants via commutative structures ⋮ BUNDLES OF LIE ALGEBRAS

Cites Work

• The Schouten bracket and Hamiltonian operators
• On the Euler equation: Bi-Hamiltonian structure and integrals in involution
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Polynomial Lax pairs for the chiral O(3)-field equations and the Landau-Lifshitz equation
• Bi-Hamiltonian formulation of the O(3) chiral fields equations hierarchy via a polynomial bundle
• Lax–Nijenhuis operators for integrable systems

This page was built for publication: Linear bundles of Lie algebras and their applications