Poisson and symplectic structures on Lie algebras. I

DOI10.1016/S0393-0440(96)00025-3zbMath0874.22018WikidataQ127251402 ScholiaQ127251402MaRDI QIDQ1362535

A. M. Perelomov, Dimitrii V. Alekseevsky

Publication date: 11 November 1997

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Yang-Baxter equationLie algebrasPoisson and symplectic structures

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lie algebras of Lie groups (22E60)

Related Items

Prehomogeneous spaces for the coadjoint action of a parabolic group ⋮ Symplectic, product and complex structures on 3-Lie algebras ⋮ Commutative polarisations and the Kostant cascade ⋮ Unnamed Item ⋮ Index and stable linear forms in Lie algebras. ⋮ \(C^\ast\)-dynamical systems of solvable Lie groups ⋮ On the index of certain Lie algebras. ⋮ SOME HIGHLIGHTS OF DMITRY ALEKSEEVSKY'S WORK

Cites Work

• On the classical Young-Baxter equation for simple Lie algebras
• What is a classical r-matrix?
• On rational solutions of Yang-Baxter equation for $\mathfrak{sl}(n)$.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item