Reducible hypergeometric operators: Decompositions and differential Galois groups
type: Item
instance of: scholarly article
title: Reducible hypergeometric operators: Decompositions and differential Galois groups
zbMATH Open document ID: 0908.12002
author: Katy Boussel
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 1999-02-18T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73385
review text: The reducible hypergeometric operators are classified according to their decompositions in the ring of differential operators on the one hand and to their parameters on the other hand. Starting from the work of N. Katz on the irreducible case, the author derives from this classification a computation of the unipotent part of the differential Galois group based on Galois cohomological methods and on considerations of affine groups.
Mathematics Subject Classification ID: 12H05
Mathematics Subject Classification ID: 12G05
Mathematics Subject Classification ID: 33C80
zbMATH DE Number: 1013910
zbMATH Keywords: differential Galois group
zbMATH Keywords: Galois cohomology
zbMATH Keywords: affine groups
zbMATH Keywords: reducible hypergeometric operators
reviewed by: E. V. Pankrat'ev
MaRDI profile type: Publication
OpenAlex ID: W2334818821
cites work: Siegel normality
cites work: Monodromy for the hypergeometric function \(_ nF_{n-1}\)
cites work: Q3358852
cites work: Q4025967
cites work: Q5611784
cites work: Q4208885
cites work: Equations différentielles à points singuliers réguliers
cites work: Matrices de Stokes et groupe de Galois des équations hypergéometriques confluentes generalisées. (Stokes matrices and Galois groups of generalized confluent hypergeometric equations)
cites work: Q3255437
cites work: On the calculation of some differential Galois groups
cites work: Exponential Sums and Differential Equations. (AM-124)
cites work: Q5680222
cites work: Q3980824
cites work: Q3209217
cites work: Q3731888
cites work: Q3264980
cites work: Lemmes de Hensel pour les opérateurs différentiels. Application à la reduction formelle des équations différentielles
cites work: Q5509718
DOI: 10.5802/AFST.830
Recommended article: Q4297320
Recommended article: Absolute reducibility of differential operators and Galois groups
Recommended article: Q4208885
Recommended article: Hypergeometric functions on reductive groups
Recommended article: Reduction algebra and differential operators on Lie groups
Recommended article: Canonical decomposition of irreducible linear differential operators with symplectic or orthogonal differential Galois groups
Recommended article: Q3744721
Recommended article: On linear differential equations with reductive Galois group
Recommended article: Q4421457
Recommended article: Invariant Differential Operators on a Reductive Lie Algebra and Weyl Group Representations
description: scientific article; zbMATH DE number 1013910