The Generating Rank of the Symplectic Grassmannians: Hyperbolic and Isotropic Geometry

Author(s)

Rieuwert J. Blok, Bowling Green State University

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