Example image of eyePlorer eyePlorer map for 'Symplectic vector space': Antisymmetric Bilinear form Degenerate form Mathematics Vector space Basis (linear algebra) Matrix (mathematics) Invertible matrix Skew-symmetric matrix Symplectic matrix Determinant Dimension (vector space) Parity (mathematics) Block matrix Identity matrix Gram–Schmidt process Dual space Direct sum of modules Volume form Exterior algebra Orientation (mathematics) Linear map Pullback (differential geometry) If and only if Isomorphism Group (mathematics) Lie group Symplectic group Linear subspace Orthogonal complement Quotient space (linear algebra) Codimension Heisenberg group Canonical commutation relation Canonical coordinates Group extension Momentum operator Position operator Stone–von Neumann theorem Group algebra Symmetric algebra Weyl algebra Weyl quantization Functor Differentiable manifold Group representation Symplectic manifold Symplectic representation Tangent space Ralph Abraham