Computing Galois groups of completely reducible differential equations
type: Item
instance of: scholarly article
title: Computing Galois groups of completely reducible differential equations
zbMATH Open document ID: 0997.12009
published in: Journal of Symbolic Computation
publication date: 2000-05-08T00:00:00Z
Mathematics Subject Classification ID: 12H05
Mathematics Subject Classification ID: 12H20
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 12Y05
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 1440309
zbMATH Keywords: Galois group
zbMATH Keywords: Picard-Vessiot extension
author: Elie Compoint
author: Michael F. Singer
MaRDI profile type: Publication
OpenAlex ID: W1998630682
cites work: On Second Order Linear Differential Equations with Algebraic Solutions
cites work: Minimal heights and polarizations on group varieties
cites work: Q5618470
cites work: Q3139838
cites work: Direct methods for primary decomposition
cites work: Gröbner bases and primary decomposition of polynomial ideals
cites work: Q4089001
cites work: A Simple Algorithm for Cyclic Vectors
cites work: Q3770642
cites work: Algebraic Groups and Algebraic Dependence
cites work: Q5680222
cites work: Q4321755
cites work: Q3803204
cites work: Q3998356
cites work: Q4692759
cites work: Q3952227
cites work: Q3900155
cites work: Liouvillian Solutions of n-th Order Homogeneous Linear Differential Equations
cites work: Liouvillian solutions of linear differential equations with Liouvillian coefficients
cites work: Testing reducibility of linear differential operators: A group theoretic perspective
cites work: Gröbner bases of toric varieties
cites work: Algorithms in invariant theory
cites work: Q4227346
cites work: Factorization of differential operators with rational functions coefficients
cites work: Constructive invariant theory for tori
cites work: Q5676405
DOI: 10.1006/JSCO.1999.0311
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description: scientific article; zbMATH DE number 1440309