Abstract
It is proven that the flag geometry of a Chevalley group can be derived from the flag geometry of its Weyl group by using a linear covering defined by the author. To prove this, the author regards elements of the Weyl group geometry as vectors of a Euclidean space in such a way that the incidence of vectors is defined by their scalar products.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 3, pp. 383–387, March, 1990.
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Ustimenko, V.A. A linear interpretation of the flag geometries of Chevalley groups. Ukr Math J 42, 341–344 (1990). https://doi.org/10.1007/BF01057020
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DOI: https://doi.org/10.1007/BF01057020