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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 103, 40 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.103 (Mi sigma449) 		 
Isomorphism of Intransitive Linear Lie Equations

Jose Miguel Martins Veloso

Faculdade de Matematica, UFPA, Belem, PA, CEP 66075-110, Brasil
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DOI: https://doi.org/10.3842/SIGMA.2009.103
Abstract: We show that formal isomorphism of intransitive linear Lie equations along transversal to the orbits can be extended to neighborhoods of these transversal. In analytic cases, the word formal is dropped from theorems. Also, we associate an intransitive Lie algebra with each intransitive linear Lie equation, and from the intransitive Lie algebra we recover the linear Lie equation, unless of formal isomorphism. The intransitive Lie algebra gives the structure functions introduced by É. Cartan.
Keywords: Lie equations; Lie groupoids; intransitive; isomorphism.
Received: February 9, 2009; in final form November 11, 2009; Published online November 17, 2009
Bibliographic databases:
Document Type: Article
MSC: 58H05; 58H10
Language: English
Citation: Jose Miguel Martins Veloso, “Isomorphism of Intransitive Linear Lie Equations”, SIGMA, 5 (2009), 103, 40 pp.
Citation in format AMSBIB
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