Isotropic subspace of a symplectic vector space
= Isotropic subspace of a symplectic vector space
= Isotropic subspaces of a symplectic vector space
{synonym}
A subspace $W$ of a <symplectic vector space> $(V,\Omega)$ is isotropic when $\Omega|_{W\times W}=0$. It has at most half the dimension of $V$; equality makes it a <Lagrangian subspace>. This use of isotropic concerns an alternating <bilinear form>, rather than an <isotropic quadratic form>.