nLab n-plectic vector space



The generalization of the notion of symplectic vector space from symplectic geometry to n-plectic geometry.



For nn \in \mathbb{N}, an n-plectic vector space is a vector space VV (over the real numbers) equipped with an (n+1)(n+1)-linear skew function

ω: n+1V \omega : \wedge^{n+1} V \to \mathbb{R}

such that regarded as a function

V nV * V \to \wedge^n V^*

is has trivial kernel.

Created on March 2, 2012 at 23:17:33. See the history of this page for a list of all contributions to it.