A note on the codimension of the linear section of the Lagrangian-Grassmannian L(6,12)

Jesús Carrillo-Pacheco, Fausto Jarquín-Zárate, Maurilio Velasco-Fuentes +1

Consider a $2n$-dimensional symplectic vector space $E$ over an arbitrary field $\mathbb{F}$. Given a contraction map $f:{\wedge }^{n}E\to {\wedge }^{n-2}E$ such that the Lagra…