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

E. I. Bunina

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arXiv · math/0702046

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

E. I. Bunina

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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).

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BibTeX RIS

E. I. Bunina. 2009-07-31. Automorphisms of elementary adjoint Chevalley groups of types $A_l, D_l, E_l$ over local rings with 1/2. https://arxiv.org/abs/math/0702046

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