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searching for Symplectic vector space 3 found (29 total)

Skew-Hamiltonian matrix (311 words) [view diff] exact match in snippet view article find links to article

on a symplectic vector space. Let V {\displaystyle V} be a vector space equipped with a symplectic form, denoted by Ω. A symplectic vector space must

Contact geometry (2,527 words) [view diff] exact match in snippet view article find links to article

bundle of rank one smaller than the dimension of M. Note that a symplectic vector space is always even-dimensional, while contact manifolds need to be

Quadric (algebraic geometry) (3,537 words) [view diff] exact match in snippet view article

viewed as the isotropic Grassmannian of 2-planes in a 4-dimensional symplectic vector space. To indicate the significance of the spinor bundles: Mikhail Kapranov