Differential Galois Theory and Lie Symmetries

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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dc.contributor.author	Blázquez-Sanz, D.
dc.contributor.author	Morales-Ruiz, J.J.
dc.contributor.author	Jacques-Arthur Weil
dc.date.accessioned	2019-02-13T17:09:53Z
dc.date.available	2019-02-13T17:09:53Z
dc.date.issued	2015
dc.identifier.citation	Differential Galois Theory and Lie Symmetries / D. Blázquez-Sanz, J.J. Morales-Ruiz, Jacques-Arthur Weil // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 22 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 12H05; 34M15; 34A26
dc.identifier.other	DOI:10.3842/SIGMA.2015.092
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147127
dc.description.abstract	We study the interplay between the differential Galois group and the Lie algebra of infinitesimal symmetries of systems of linear differential equations. We show that some symmetries can be seen as solutions of a hierarchy of linear differential systems. We show that the existence of rational symmetries constrains the differential Galois group in the system in a way that depends of the Maclaurin series of the symmetry along the zero solution.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Algebraic Methods in Dynamical Systems. The full collection is available at http://www.emis.de/journals/SIGMA/AMDS2014.html. The authors thank their colleagues for interesting discussions that encouraged them to write this paper, especially those attending the meeting Algebraic Methods in Dynamical Systems 2014. David Bl´azquez-Sanz acknowledges Universidad Nacional de Colombia for supporting his research through project ref. HERMES-27984. Juan J. Morales-Ruiz research has been also partially supported by the Spanish MINECO-FEDER Grant MTM2012-31714. We thank the anonymous referees for their remarks and suggestions.	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	Differential Galois Theory and Lie Symmetries	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA