Cohomology for Picard-Vessiot theory

DOI10.1016/J.JALGEBRA.2024.05.047MaRDI QIDQ6597493

Man Cheung Tsui, Yidi Wang

Publication date: 3 September 2024

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

zbMATH Keywords

Hopf algebrasdescentdifferential algebraPicard-Vessiot theoryalgebraic groups and torsorsdifferential central simple algebras

Mathematics Subject Classification ID

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Cites Work

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• Principal homogeneous spaces for arbitrary Hopf algebras
• Twisted forms of differential Lie algebras over \(\mathbb{C}(t)\) associated with complex simple Lie algebras
• Differential embedding problems over complex function fields
• A characterization of linearly reductive groups by their invariants
• Non-Abelian Hopf cohomology.
• The inverse problem in the Galois theory of differential fields
• Algebraic Groups
• Differential central simple algebras and Picard–Vessiot representations
• Solution of the Inverse Problem of Differential Galois Theory in the Classical Case
• The Picard–Vessiot closure in differential Galois theory
• Splitting of differential quaternion algebras

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