Differential Galois Theory and Lie Symmetries
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Differential Galois Theory and Lie Symmetries
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| Creator |
Blázquez-Sanz, D.
Morales-Ruiz, J.J. Jacques-Arthur Weil |
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| Description |
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.
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| Date |
2019-02-13T17:09:53Z
2019-02-13T17:09:53Z 2015 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 12H05; 34M15; 34A26 DOI:10.3842/SIGMA.2015.092 http://dspace.nbuv.gov.ua/handle/123456789/147127 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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