The Generating Rank of the Symplectic Grassmannians: Hyperbolic and Isotropic Geometry
Exploiting the interplay between hyperbolic and isotropic geometry, we prove that the grassmannian of totally isotropic k-spaces of the polar space associated to the symplectic group Sp2n(F) has generating rank 2nk−2nk−2 when Char(F)≠2.
Blok, Rieuwert J., "The Generating Rank of the Symplectic Grassmannians: Hyperbolic and Isotropic Geometry" (2007). Mathematics and Statistics Faculty Publications. 27.
European Journal of Combinatorics