Symplectic basis
In linear algebra, a standard symplectic basis is a basis of a symplectic vector space, which is a vector space with a nondegenerate alternating bilinear form, such that. A symplectic basis of a symplectic vector space always exists; it can be constructed by a procedure similar to the Gram–Schmidt process. The existence of the basis implies in particular that the dimension of a symplectic vector space is even if it is finite.
