An explicit description in terms of Plücker coordinates of the Langrangian-Grassmannian
Jesús Carrillo-Pacheco, Fausto Jarquín-Zárate, Maurilio Velasco-Fuentes, Felipe Zaldívar · arXiv (Cornell University) · 2016
For an arbitrary field of any characteristic we give an explicit description, in terms of Plücker coordinates, of the projective linear space that cuts out the Lagrangian-Grassmannian variety $L(n,2n)$ of maximal isotropic subspaces in a symplectic vector space of dimension $2n$ in the Grassmannian variety $G(n,2n)$