Reduced Forms of Linear Differential Systems and the Intrinsic Galois-Lie Algebra of Katz

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• ISSN: 1815-0659
• Main Authors: Barkatou, Moulay, Cluzeau, Thomas, Di Vizio, Lucia, Weil, Jacques-Arthur
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210696
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Reduced Forms of Linear Differential Systems and the Intrinsic Galois-Lie Algebra of Katz. Moulay Barkatou, Thomas Cluzeau, Lucia Di Vizio and Jacques-Arthur Weil. SIGMA 16 (2020), 054, 13 pages

Generalizing the main result of [Aparicio-Monforte A., Compoint E., Weil J.-A., J. Pure Appl. Algebra 217 (2013), 1504-1516], we prove that a linear differential system is in reduced form in the sense of Kolchin and Kovacic if and only if any differential module in an algebraic construction admits a...