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

12 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

@article{56c7a27d97cb4e078e96f5d554c8b69a,

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

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).",

keywords = "Automorphism, Elementary adjoint Chevalley group, Local commutative ring",

author = "Bunina, \{E. I.\}",

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).",

year = "2009",

month = oct,

doi = "10.1007/s10469-009-9061-1",

language = "אנגלית",

volume = "48",

pages = "250--267",

journal = "Algebra and Logic",

issn = "0002-5232",

publisher = "Springer",

number = "4",

}

TY - JOUR

T1 - Automorphisms of elementary adjoint Chevalley groups of types A1, D1, and E1 over local rings with 1/2

AU - Bunina, E. I.

N1 - 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).

PY - 2009/10

Y1 - 2009/10

N2 - 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).

AB - 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).

KW - Automorphism

KW - Elementary adjoint Chevalley group

KW - Local commutative ring

UR - https://www.scopus.com/pages/publications/70350723588

U2 - 10.1007/s10469-009-9061-1

DO - 10.1007/s10469-009-9061-1

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:70350723588

SN - 0002-5232

VL - 48

SP - 250

EP - 267

JO - Algebra and Logic

JF - Algebra and Logic

IS - 4

ER -