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Journal of Mathematical Sciences

, Volume 152, Issue 2, pp 155–190 | Cite as

Elementary equivalence of Chevalley groups over fields

  • E. I. Bunina
Article

Abstract

It is proved that (elementary) Chevalley groups G π(Φ,K) and G π′(Φ′,K′) (or E π(Φ,K) and E π′(Φ′,K′)) over infinite fields K and K′ of characteristic different from 2, with weight lattices Λ and Λ′, respectively, are elementarily equivalent if and only if the root systems Φ and Φ′ are isomorphic, the fields K and K′ are elementarily equivalent, and the lattices Λ and Λ′ coincide.

Keywords

Weyl Group Simple Root Chevalley Group Weight Lattice Adjoint Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia

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