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

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

2007-02-02

arxiv.org/abs/math/0702046v2

Mathematics

Group Theory

19 pages

Scientific paper

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).

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