Base subsets of symplectic Grassmannians

被引：0
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作者：
Pankov, Mark [1 ]
机构：
[1] Department of Mathematics and Information Technology, University of Warmia and Mazury, Zolnierska 14A, Olsztyn 10-561, Poland
来源：
Journal of Algebraic Combinatorics | 2007年 / 26卷 / 02期
关键词：
Let V and V′ be 2n-dimensional vector spaces over fields F and F′. Let also Ω: V× V&rarr F and Ω′: V′× V′&rarr F′ be non-degenerate symplectic forms. Denote by Π and Π′ the associated (2n-1)-dimensional projective spaces. The sets of k-dimensional totally isotropic subspaces of Π and Π′ will be denoted by Gk and G′k; respectively. Apartments of the associated buildings intersect Gk and G′k by so-called base subsets. We show that every mapping of Gk to G′k sending base subsets to base subsets is induced by a symplectic embedding of Π to Π′. © 2006 Springer Science+Business Media; LLC;
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页码：143 / 159
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