A linear interpretation of the flag geometries of Chevalley groups
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- Ustimenko, V.A. Ukr Math J (1990) 42: 341. doi:10.1007/BF01057020
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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.