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Isometric embeddings of polar Grassmannians and metric characterizations of their apartments (1502.02873v1)
Published 10 Feb 2015 in math.CO
Abstract: 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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