Isometric embeddings of polar Grassmannians and metric characterizations of their apartments

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作者
Mariusz Kwiatkowski
Mark Pankov
机构
[1] University of Warmia and Mazury,Department of Mathematics and Computer Science
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Polar Grassmann graph; Apartment; Isometric embedding; 51A50; 51E24;
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摘要
We describe isometric embeddings of polar Grassmann graphs formed by non-maximal singular subspaces. In almost all cases, they are induced by collinearity-preserving injections of polar spaces. As a simple consequence of this result, we get a metric characterization of apartments in polar Grassmannians.
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页码:777 / 801
页数:24
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