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Symplectic Vector Spaces

Izu Vaisman

Open publisher page 4 citations

Abstract

This is a chapter of linear algebra and linear symplectic geometry. We discuss the structure of the symplectic vector spaces, symplectic transformations, and linear subspaces. If the base field is IR, we introduce and discuss the compatible complex structures of the symplectic vector space. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

About this research paper

What this paper is about

This is a chapter of linear algebra and linear symplectic geometry. We discuss the structure of the symplectic vector spaces, symplectic transformations, and linear subspaces. If the base field is IR, we introduce and discuss the compatible complex structures of the symplectic vector space. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This is a chapter of linear algebra and linear symplectic geometry. We discuss the structure of the symplectic vector spaces, symplectic transformations, and linear subspaces. If the base field is IR, we introduce and discuss the compatible complex structures of the symplectic vector space. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Key concepts: Symplectic vector space, Symplectic geometry, Symplectic representation, Symplectic matrix, Linear subspace, Symplectomorphism, Symplectic group, Pure mathematics

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