Mathematics and Statistics Faculty Publications

Title

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.

Publication Date

2007

Publication Title

European Journal of Combinatorics

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