The generating rank of the symplectic line-grassmannian
نویسنده
چکیده
We prove that the grassmannian of lines of the polar space associated to Sp2n(F) has generating rank 2n − n− 1 when Char(F) 6= 2.
منابع مشابه
The generating rank of the symplectic grassmannians: Hyperbolic and isotropic geometry
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 ( 2n k ) − ( 2n k−2 ) when Char(F) = 2. c © 2006 Elsevier Ltd. All rights reserved.
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تاریخ انتشار 2003