Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 44, No. 2, pp. 575-580 (2003) |
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The generating rank of the symplectic line-GrassmannianRieuwert J. BlokDepartment of Mathematics, Michigan State University, East Lansing, MI 48824-1027, USA; e-mail: blokr@member.ams.orgAbstract: We prove that the grassmannian of lines of the polar space associated to SP$_{2n}(\mathbb F)$ has generating rank $2n^2-n-1$ when $\Char(\mathbb F)\ne 2$. Keywords: symplectic geometry, grassmannian, generating rank Classification (MSC2000): 51E24; 51A50, 51A45 Full text of the article:
Electronic version published on: 1 Aug 2003. This page was last modified: 4 May 2006.
© 2003 Heldermann Verlag
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