Automorphisms and isomorphisms of Chevalley groups and algebras
Group Theory
2010-09-29 v4 Rings and Algebras
Representation Theory
Abstract
An adjoint Chevalley group of rank at least 2 over a rational algebra (or a similar ring), its elementary subgroup, and the corresponding Lie ring have the same automorphism group. These automorphisms are explicitly described.
Cite
@article{arxiv.0708.2256,
title = {Automorphisms and isomorphisms of Chevalley groups and algebras},
author = {Anton A. Klyachko},
journal= {arXiv preprint arXiv:0708.2256},
year = {2010}
}
Comments
8 pages. A Russian version of this paper is at http://mech.math.msu.su/department/algebra/staff/klyachko/papers.htm . V4: minor changes in Introduction and References