Mathematics and Statistics Faculty Publications
The Generating Rank of the Symplectic Grassmannians: Hyperbolic and Isotropic Geometry
Document Type
Article
Abstract
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.
Repository Citation
Blok, Rieuwert J., "The Generating Rank of the Symplectic Grassmannians: Hyperbolic and Isotropic Geometry" (2007). Mathematics and Statistics Faculty Publications. 27.
https://scholarworks.bgsu.edu/math_stat_pub/27
Publication Date
2007
Publication Title
European Journal of Combinatorics
DOI
https://doi.org/10.1016/j.ejc.2006.05.013
Start Page No.
1368
End Page No.
1394