Automorphisms of elementary adjoint Chevalley groups of types $A_l,D_l,E_l$ over local rings with 1/2

Abstract

In the paper we prove that every automorphism of and elementary adjoint Chevalley group of types $A_l,D_l$, or $E_l$, over local commutative ring with 1/2 is a composition of a ring automorphism and conjugation by some matrix from the normalizer of the Chevalley group in $\GL(V)$ ($V$ is the adjoint representation space).

19 pages

Cited by in corpus (2)

• Automorphisms of Chevalley groups of type $F_4$ over local rings with 1/2
• Automorphisms and isomorphisms of Chevalley groups of type $G_2$ over local rings with 1/2 and 1/3