Galois theory of differential equations, algebraic groups and Lie algebras
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Publication:1974709
DOI10.1006/jsco.1999.0310zbMath0997.12008OpenAlexW2131699399WikidataQ115395343 ScholiaQ115395343MaRDI QIDQ1974709
Publication date: 8 May 2000
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jsco.1999.0310
algebraic groupsexercisesinverse problem of differential Galois theoryalgebraic Lie algebrasexpositionGalois theory of linear differential equations
Nonlinear ordinary differential equations and systems (34A34) Differential algebra (12H05) Lie algebras of linear algebraic groups (17B45)
Related Items (6)
Représentations galoisiennes et opérateurs de Bessel \(p\)-adiques. (Galois representations and \(p\)-adic Bessel operators) ⋮ Absolute reducibility of differential operators and Galois groups ⋮ Solvable-by-finite groups as differential Galois groups ⋮ Alternative solution of the inhomogeneous linear differential equation of order two ⋮ Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms ⋮ Lie symmetries and differential Galois groups of linear equations
Cites Work
- Moduli of linear differential equations on the Riemann sphere with fixed Galois groups
- An algorithm for solving second order linear homogeneous differential equations
- Galois groups of second and third order linear differential equations
- Connected linear groups as differential Galois groups
- Cohomologie galoisienne. Cours au Collège de France, 1962--1963. Seconde édition.
- The inverse problem in the Galois theory of differential fields
- A Simple Algorithm for Cyclic Vectors
- Solution of the Inverse Problem of Differential Galois Theory in the Classical Case
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