Symplectic Vector Spaces

  • Izu Vaisman
Part of the Progress in Mathematics book series (PM)


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.


Symplectic Form Isotropy Subgroup Isotropic Subspace Symplectic Space Symplectic Transformation 
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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Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Izu Vaisman
    • 1
  1. 1.Department of MathematicsUniversity of HaifaMount Carmel, HaifaIsrael

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