Generic Picard–Vessiot Extensions for Nonconnected Groups

DOI10.1080/00927872.2015.1065862zbMath1355.12002OpenAlexW2562866795MaRDI QIDQ5740569

Lourdes Juan, Arne Ledet

Publication date: 27 July 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2015.1065862

zbMATH Keywords

torsorsGaloisgenericdifferential

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Galois cohomology (12G05) Differential algebra (12H05)

Cites Work

• Generic rings for Picard-Vessiot extensions and generic differential equations
• Invariant fields of finite irreducible reflection groups
• Generic Picard-Vessiot extensions for connected-by-finite groups.
• Equivariant vector fields on non-trivial \(\text{SO}_n\)-torsors and differential Galois theory
• On Picard-Vessiot extensions with group \(\text{PGL}_3\)
• PRINCIPAL DIFFERENTIAL IDEALS AND A GENERIC INVERSE DIFFERENTIAL GALOIS PROBLEM FOR GL _n
• Pure Picard-Vessiot extensions with generic properties
• On Generic differential $\operatorname{SO}_n$-extensions

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