Abstract
It is proved that (elementary) Chevalley groups Gπ (Φ, K) and Gπ′ (Φ′, K′) (or Eπ (Φ, K) and Eπ′ (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.
| Original language | English |
|---|---|
| Pages (from-to) | 155-190 |
| Number of pages | 36 |
| Journal | Journal of Mathematical Sciences (United States) |
| Volume | 152 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jul 2008 |
| Externally published | Yes |
Bibliographical note
Funding Information:This work was partially supported by the President of the Russian Federation grant MK-904.2006.1 and by the Russian Foundation for Basic Research grant 05-01-01048.
Funding
This work was partially supported by the President of the Russian Federation grant MK-904.2006.1 and by the Russian Foundation for Basic Research grant 05-01-01048.
| Funders | Funder number |
|---|---|
| Russian Foundation for Basic Research | 05-01-01048 |
| Council on grants of the President of the Russian Federation | MK-904.2006.1 |