Lie algebras of vector fields in the real plane

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

Research output: Contribution to journalArticlepeer-review

89 Scopus citations

Abstract

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

Original languageEnglish (US)
Pages (from-to)339-368
Number of pages30
JournalProceedings of the London Mathematical Society
Volumes3-64
Issue number2
DOIs
StatePublished - 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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