Isomorphism of Intransitive Linear Lie Equations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• ISSN: 1815-0659
• Main Author: Veloso, Jose Miguel Martins
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149105
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Isomorphism of Intransitive Linear Lie Equations / Jose Miguel Martins Veloso // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 27 назв. — англ.

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 eq...