Ukrainian Mathematical Journal

, Volume 42, Issue 3, pp 341–344

A linear interpretation of the flag geometries of Chevalley groups

  • V. A. Ustimenko

DOI: 10.1007/BF01057020

Cite this article as:
Ustimenko, V.A. Ukr Math J (1990) 42: 341. doi:10.1007/BF01057020


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.

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • V. A. Ustimenko
    • 1
  1. 1.Kiev UniversityUSSR