Galois theory of aigebraic and differential equations

DOI10.1017/S0027763000006012zbMath0885.12004MaRDI QIDQ4343818

Hiroshi Umemura

Publication date: 18 August 1997

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Galois theorydifferential fieldstrongly normal extensionquasi-automorphic extension

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Separable extensions, Galois theory (12F10) Differential algebra (12H05) Abstract differential equations (12H20) Group schemes (14L15)

Related Items (12)

Global Asymptotics of the Sixth Painlevé Equation in Okamoto’s Space ⋮ On the definition of the Galois group of linear differential equations ⋮ Picard-Vessiot theory for real fields ⋮ Hiroshi Umemura and French mathematics ⋮ Mathematical works of Hiroshi Umemura ⋮ Toward quantization of Galois theory ⋮ Generalized differential Galois theory ⋮ Differential Galois theory of infinite dimension ⋮ On a general difference Galois theory. I ⋮ Division of differential operators, intertwine relations and Darboux transformations. ⋮ The differential Galois theory of strongly normal extensions ⋮ Galois correspondence theorem for Picard-Vessiot extensions

Cites Work

• Hopf Galois theory for separable field extensions
• On Galois Theory of Fields with Operators
• Differential Galois theory of infinite dimension
• Differential Algebraic Groups
• On Algebraic Groups of Transformations
• Unnamed Item

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