Isomorphism of Intransitive Linear Lie Equations

Jose Miguel Martins Veloso

Symmetry, integrability and geometry: methods and applications, Tome 5 (2009)

Résumé

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.

Détail

Mots-clés : Lie equations; Lie groupoids; intransitive; isomorphism.

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