Base subsets in symplectic Grassmannians of small indices |
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Authors: | Mark Pankov |
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Institution: | 1. Institute of Mathematics National Academy of Science of Ukraine, Tereshchenkivska 3, Kiev 01601, Ukraine
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Abstract: | Let V and V′ be n-dimensional vector spaces. Let also Ω and Ω′ be non-degenerate symplectic forms defined on V and V′, respectively. Denote by Π and Π′ the projective spaces associated with V and V′. We put ![></img> </span> for the sets of k-dimensional totally isotropic subspaces of Π and Π′. We study mappings of BF03322901 which transfer base subsets to base subsets and show that such mappings are induced by strong embeddings of Π to Π′ if 3k + 3 ≤ n.</td>
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