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

E. I. Bunina

doi:10.1007/s10469-009-9061-1

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

E. I. Bunina

Lomonosov Moscow State University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

It is proved that every automorphism of an elementary adjoint Chevalley group of type A_l, D_l, or E_l 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 language	English
Pages (from-to)	250-267
Number of pages	18
Journal	Algebra and Logic
Volume	48
Issue number	4
DOIs	https://doi.org/10.1007/s10469-009-9061-1
State	Published - Oct 2009
Externally published	Yes

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).

Funding

∗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).

Funders	Funder number
Russian Foundation for Basic Research	08-01-00693
Research Grants Council, University Grants Committee	MK-2530.2008.1

Keywords

Automorphism
Elementary adjoint Chevalley group
Local commutative ring

Access to Document

10.1007/s10469-009-9061-1

Cite this

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