Triviality of differential Galois cohomology of linear differential algebraic groups

DOI10.1080/00927872.2019.1612416zbMath1442.12003arXiv1707.08620OpenAlexW2962798150WikidataQ91217291 ScholiaQ91217291MaRDI QIDQ5238152

Alexey Ovchinnikov, Andrei Minchenko

Publication date: 28 October 2019

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

Full work available at URL: https://arxiv.org/abs/1707.08620

zbMATH Keywords

differential Galois theorydifferential algebraic groups

Mathematics Subject Classification ID

Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Differential algebra (12H05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Structure theory for linear algebraic groups (20G07)

Related Items (1)

Generalized Picard-Vessiot extensions and differential Galois cohomology

Cites Work

• Parameterized Picard-Vessiot extensions and Atiyah extensions
• A Jordan-Hölder theorem for differential algebraic groups
• The classification of the semisimple differential algebraic groups and the linear semisimple differential algebraic Lie algebras
• The Picard-Vessiot theory, constrained cohomology, and linear differential algebraic groups
• Isomonodromic differential equations and differential categories
• The inverse problem in the Galois theory of differential fields
• On central extensions of simple differential algebraic groups
• Differential Algebraic Groups
• Galois theory of parameterized differential equations and linear differential algebraic groups
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