Isomorphism of Intransitive Linear Lie Equations
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...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149105 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Isomorphism of Intransitive Linear Lie Equations / Jose Miguel Martins Veloso // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 27 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862718870028025856 |
|---|---|
| author | Veloso, Jose Miguel Martins |
| author_facet | Veloso, Jose Miguel Martins |
| citation_txt | Isomorphism of Intransitive Linear Lie Equations / Jose Miguel Martins Veloso // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 27 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-12-07T18:17:24Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149105 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:17:24Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Veloso, Jose Miguel Martins 2019-02-19T17:25:25Z 2019-02-19T17:25:25Z 2009 Isomorphism of Intransitive Linear Lie Equations / Jose Miguel Martins Veloso // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 27 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 58H05; 58H10 https://nasplib.isofts.kiev.ua/handle/123456789/149105 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. This paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”. I would like to thank the referees for the several suggestions to improve this paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Isomorphism of Intransitive Linear Lie Equations Article published earlier |
| spellingShingle | Isomorphism of Intransitive Linear Lie Equations Veloso, Jose Miguel Martins |
| title | Isomorphism of Intransitive Linear Lie Equations |
| title_full | Isomorphism of Intransitive Linear Lie Equations |
| title_fullStr | Isomorphism of Intransitive Linear Lie Equations |
| title_full_unstemmed | Isomorphism of Intransitive Linear Lie Equations |
| title_short | Isomorphism of Intransitive Linear Lie Equations |
| title_sort | isomorphism of intransitive linear lie equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149105 |
| work_keys_str_mv | AT velosojosemiguelmartins isomorphismofintransitivelinearlieequations |