Homomorphisms between the chevalley groups over any fields of characteristic zero |
| |
| Authors: | Zha Jianguo |
| |
| Institution: | Department of Applied Mathematics , Tongji University , Shanghai, 200092, CHINA |
| |
| Abstract: | Given an irreducible root system ∑, let G(F,L) denote the Cheval- ley group over a field F corresponding to a lattice L between the root lattice and the weight lattice of ∑,. We will determine all nontnvial homomorphisms from G(k,L 1) to G(K,L 2when k and K are any fields of characteristic zero, and we will verify that any nontrivial homomorphism from G(k,L 1) to G(K,L 2are induced by a field homomorphism from k to K by multiplying an automorphism of G(K,L 2. |
| |
| Keywords: | Chevalley groups homonorphisms |
|
|
