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

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• Hauptverfasser: Barkatou, Moulay, Cluzeau, Thomas, Di Vizio, Lucia, Weil, Jacques-Arthur
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210696
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...