Lie algebras of vector fields in the real plane

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

Research output: Contribution to journalArticlepeer-review

104 Scopus citations


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
Issue number2
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.


Dive into the research topics of 'Lie algebras of vector fields in the real plane'. Together they form a unique fingerprint.

Cite this