Calculating the Galois group of \(Y'=AY+B\), \(Y'=AY\) completely reducible

DOI10.1006/jsco.2002.0539zbMath1027.12003OpenAlexW2039132376MaRDI QIDQ1864902

Peter Berman

Publication date: 23 March 2003

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsco.2002.0539

zbMATH Keywords

algorithmGalois groupblock-diagonal decomposition

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Abstract differential equations (12H20)

Related Items

A reduced form for linear differential systems and its application to integrability of Hamiltonian systems, Galoisian methods for testing irreducibility of order two nonlinear differential equations, Computing the Lie algebra of the differential Galois group: the reducible case

Cites Work

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• Testing reducibility of linear differential operators: A group theoretic perspective
• On rational solutions of systems of linear differential equations
• Computing Galois groups of completely reducible differential equations
• Fully Reducible Subgroups of Algebraic Groups
• Algebraic Groups and Algebraic Dependence