On Poisson Realizations of Transitive Lie Algebroids

DOI10.2991/jnmp.2004.11.s1.5zbMath1362.17047OpenAlexW2102541855MaRDI QIDQ5346887

Yuri M. Vorobiev

Publication date: 30 May 2017

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

Full work available at URL: https://doi.org/10.2991/jnmp.2004.11.s1.5

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (5)

Forces unification in the framework of transitive Lie algebroids ⋮ Infinitesimal Poisson algebras and linearization of Hamiltonian systems ⋮ Graded Lie algebroids: a framework for geometrization of matter and forces unification ⋮ On contact and symplectic Lie algebroids ⋮ LIE–HAMILTON SYSTEMS: THEORY AND APPLICATIONS

Cites Work

• Unnamed Item
• The local structure of Poisson manifolds
• Canonical formulations of a classical particle in a Yang-Mills field and Wong's equations
• Lie algebroids, holonomy and characteristic classes
• The inhomogeneous Toda lattice: its hierarchy and Darboux-Backlund transformations
• Minimal coupling and the symplectic mechanics of a classical particle in the presence of a Yang-Mills field
• Symmetries of discrete dynamical systems
• Symplectic groupoids and Poisson manifolds

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