Isomorphism of Intransitive Linear Lie Equations

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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dc.contributor.author	Veloso, Jose Miguel Martins
dc.date.accessioned	2019-02-19T17:25:25Z
dc.date.available	2019-02-19T17:25:25Z
dc.date.issued	2009
dc.identifier.citation	Isomorphism of Intransitive Linear Lie Equations / Jose Miguel Martins Veloso // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 27 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 58H05; 58H10
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149105
dc.description.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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Isomorphism of Intransitive Linear Lie Equations	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA