2000Graduate studies in mathematicsRequires access

An Introduction to Symplectic Geometry

Rolf Berndt

Open publisher page 97 citations

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.

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OpenAlex reports 97 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Symplectic geometry, Moment map, Symplectomorphism, Poisson algebra, Mathematics, Symplectic representation, Pure mathematics, Symplectic manifold

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