Lie algebras of vector fields in the real plane

Artemio González-López; Niky Kamran; Peter J. Olver

doi:10.1112/plms/s3-64.2.339

Lie algebras of vector fields in the real plane

Artemio González-López, Niky Kamran, Peter J. Olver

School of Mathematics

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

110 Scopus citations

Abstract

Finite-dimensional real analytic Lie algebras of vector fields on ℝ² are completely classified up to changes of local coordinates.

Original language	English (US)
Pages (from-to)	339-368
Number of pages	30
Journal	Proceedings of the London Mathematical Society
Volume	s3-64
Issue number	2
DOIs	https://doi.org/10.1112/plms/s3-64.2.339
State	Published - Mar 1992

Bibliographical note

Funding Information:
The research of the second author was partially supported by an NSERC grant, and that of the third author by NSF Grant DMS 89-01600.

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10.1112/plms/s3-64.2.339

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title = "Lie algebras of vector fields in the real plane",

abstract = "Finite-dimensional real analytic Lie algebras of vector fields on ℝ2 are completely classified up to changes of local coordinates.",

author = "Artemio Gonz{\'a}lez-L{\'o}pez and Niky Kamran and Olver, {Peter J.}",

note = "Funding Information: The research of the second author was partially supported by an NSERC grant, and that of the third author by NSF Grant DMS 89-01600.",

year = "1992",

month = mar,

doi = "10.1112/plms/s3-64.2.339",

language = "English (US)",

volume = "s3-64",

pages = "339--368",

journal = "Proceedings of the London Mathematical Society",

issn = "0024-6115",

publisher = "John Wiley and Sons Ltd",

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AU - González-López, Artemio

AU - Kamran, Niky

AU - Olver, Peter J.

N1 - Funding Information: The research of the second author was partially supported by an NSERC grant, and that of the third author by NSF Grant DMS 89-01600.

PY - 1992/3

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N2 - Finite-dimensional real analytic Lie algebras of vector fields on ℝ2 are completely classified up to changes of local coordinates.

AB - Finite-dimensional real analytic Lie algebras of vector fields on ℝ2 are completely classified up to changes of local coordinates.

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EP - 368

JO - Proceedings of the London Mathematical Society

JF - Proceedings of the London Mathematical Society

IS - 2

ER -

Lie algebras of vector fields in the real plane

Abstract

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