Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 44, No. 2, pp. 575580 (2003) 

The generating rank of the symplectic lineGrassmannianRieuwert J. BlokDepartment of Mathematics, Michigan State University, East Lansing, MI 488241027, USA; email: blokr@member.ams.orgAbstract: We prove that the grassmannian of lines of the polar space associated to SP$_{2n}(\mathbb F)$ has generating rank $2n^2n1$ when $\Char(\mathbb F)\ne 2$. Keywords: symplectic geometry, grassmannian, generating rank Classification (MSC2000): 51E24; 51A50, 51A45 Full text of the article:
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