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Higher dimensional analogues of Klein's quadric
Authors:T. G. Ostrom
Affiliation:(1) Dept. of Pure and Applied Mathematics, Washington State University, 99164-3113 Pullman, WA, U.S.A.
Abstract:The basic idea is a mapping from d-dimensional subspaces of a 2d-dimensional vector space onto points in a projective space of dimension 
$$left( begin{gathered}  2d hfill   d hfill  end{gathered}  right) - 1$$
. We develop conditions under which a point in the larger projective space is an image point under this mapping. We also develop conditions corresponding to cases where the d-dimensional vector spaces do or do not intersect.Dedicated to A. Wagner on his 60th birthday
Keywords:
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