An Introduction to Symplectic Geometry
Rolf Berndt
Abstract
Rolf Berndt
Abstract
Some aspects of theoretical mechanics Symplectic algebra Symplectic manifolds Hamiltonian vectorfields and the Poisson bracket The moment map Quantization Differentiable manifolds and vector bundles Lie groups and Lie algebras A little cohomology theory Representations of groups Bibliography Index Symbols.
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Some aspects of theoretical mechanics Symplectic algebra Symplectic manifolds Hamiltonian vectorfields and the Poisson bracket The moment map Quantization Differentiable manifolds and vector bundles Lie groups and Lie algebras A little cohomology theory Representations of groups Bibliography Index Symbols.
Key concepts: Symplectic geometry, Moment map, Symplectomorphism, Poisson algebra, Mathematics, Symplectic representation, Pure mathematics, Symplectic manifold