Automorphisms of elementary adjoint Chevalley groups of types A1, D1, and E1 over local rings with 1/2

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Abstract

It is proved that every automorphism of an elementary adjoint Chevalley group of type Al, Dl, or El over a local commutative ring with 1/2 is a composition of a ring automorphism and conjugation by some matrix from the normalizer of that Chevalley group in GL(V) (V is an adjoint representation space).

Original languageEnglish
Pages (from-to)250-267
Number of pages18
JournalAlgebra and Logic
Volume48
Issue number4
DOIs
StatePublished - Oct 2009
Externally publishedYes

Bibliographical note

Funding Information:
∗Supported by RFBR (project No. 08-01-00693) and by the Council for Grants (under of Young Candidates of Science (project MK-2530.2008.1).

Keywords

  • Automorphism
  • Elementary adjoint Chevalley group
  • Local commutative ring

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