Differential `Galois' extensions with new constants

DOI10.1016/j.crma.2010.04.004zbMath1206.12004OpenAlexW2055330238MaRDI QIDQ974004

Lourdes Juan, Andy R. Magid

Publication date: 26 May 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.04.004

zbMATH Keywords

differential Galois groupsGalois correspondencedifferential fieldsdifferential automorphismsPicard-Vessiot extensions

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Separable extensions, Galois theory (12F10) Explicit solutions, first integrals of ordinary differential equations (34A05) Differential algebra (12H05) Abstract differential equations (12H20)

Cites Work

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• Equivariant vector fields on non-trivial \(\text{SO}_n\)-torsors and differential Galois theory