English

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

Group Theory 2009-07-31 v2

Abstract

In the paper we prove that every automorphism of and elementary adjoint Chevalley group of types Al,DlA_l, D_l, or ElE_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)\GL(V) (VV is the adjoint representation space).

Keywords

Cite

@article{arxiv.math/0702046,
  title  = {Automorphisms of elementary adjoint Chevalley groups of types $A_l, D_l, E_l$ over local rings with 1/2},
  author = {E. I. Bunina},
  journal= {arXiv preprint arXiv:math/0702046},
  year   = {2009}
}

Comments

19 pages