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Transformations of Grassmannians and automorphisms of classical groups

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We study transformations preserving certain linear structure in Grassmannians and give a generalization of the Fundamental Theorem of Projective Geometry. This result is closely related to the geometrical interpretation of automorphisms of classical groups.

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Received: 27 September 2001.

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Pankov, M. Transformations of Grassmannians and automorphisms of classical groups. J.Geom. 75, 132–150 (2002). https://doi.org/10.1007/s00022-002-1616-4

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  • DOI: https://doi.org/10.1007/s00022-002-1616-4

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