Isomorphism of Intransitive Linear Lie Equations

Details Isomorphism of Intransitive Linear Lie Equations Isomorphism of Intransitive Linear Lie Equations

2009-11-17

arxiv.org/abs/0911.3344v1

SIGMA 5 (2009), 103, 40 pages

Mathematics

Differential Geometry

Scientific paper

10.3842/SIGMA.2009.103

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 E. Cartan.

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