Lie symmetries and differential Galois groups of linear equations

DOI10.1090/S0025-5718-01-01397-7zbMath0989.34007OpenAlexW2129436723WikidataQ115284373 ScholiaQ115284373MaRDI QIDQ2759105

Marius van der Put, W. R. Oudshoorn

Publication date: 10 December 2001

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-01-01397-7

zbMATH Keywords

differential Galois theorydifferential Galois groupLie symmetries

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Numerical methods for ordinary differential equations (65L99) Ordinary differential equations in the complex domain (34Mxx)

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On Computing Linearizing Coordinates From Symmetry Algebra ⋮ Transitive Lie algebras of vector fields: an overview ⋮ Recognizing the symmetry type of O. D. E. s ⋮ On equivalence of singularities of second order linear differential equations by point transformations ⋮ Classes of elementary function solutions to the CEV model I ⋮ Quantum fields and motives

Cites Work

• Galois theory of differential equations, algebraic groups and Lie algebras
• Symmetry Lie algebras of \(n\)th order ordinary differential equations
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