Symplectic subspaces of symplectic Grassmannians
نویسنده
چکیده
Let V be a non-degenerate symplectic space of dimension 2n over the field F and for a natural number l < n denote by Cl(V ) the incidence geometry whose points are the totally isotropic l-dimensional subspaces of V . Two points U, W of Cl (V ) will be collinear when W ⊂ U⊥ and dim(U ∩ W ) = l − 1 and then the line on U and W will consist of all the l-dimensional subspaces of U + W which contain U ∩ W . The isomorphism type of this geometry is denoted by Cn,l (F). When char(F) = 2 we classify subspaces S of Cl(F) where S ∼= Cm,k(F). c © 2006 Elsevier Ltd. All rights reserved.
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عنوان ژورنال:
- Eur. J. Comb.
دوره 28 شماره
صفحات -
تاریخ انتشار 2007