Duality for base-changing morphisms of vector bundles, modules, Lie algebroids and Poisson structures

DOI10.1017/S0305004100071760zbMath0812.55007MaRDI QIDQ4287009

Philip J. Higgins, Kirill Charles Howard Mackenzie

Publication date: 16 May 1995

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Lie algebroidsPoisson morphismcomorphism of vector bundleslinear map of Lie algebrasmorphism of Lie algebrasPoisson bundles

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Topological groupoids (including differentiable and Lie groupoids) (22A22) General theory of differentiable manifolds (58A99) Topology of vector bundles and fiber bundles (57R22) Fiber bundles in algebraic topology (55R10)

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Cites Work

• Unnamed Item
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• Algebraic constructions in the category of Lie algebroids
• Coisotropic calculus and Poisson groupoids
• Moments and reduction for symplectic groupoids
• Dirac Manifolds
• Symplectic groupoids and Poisson manifolds
• Differential Forms on General Commutative Algebras

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