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Comptes Rendus Mathématique
Volume 341, n° 6
pages 349-352 (septembre 2005)
Doi : 10.1016/j.crma.2005.07.013
Received : 14 January 2005 ;  accepted : 18 July 2005
Calcul du groupe de Galois du produit de trois opérateurs différentiels complètement réductibles
Computing the Galois group of a product of three completely reducible operators
 

Charlotte Hardouin
Institut de mathématiques, théorie des nombres, case 247, 4, place Jussieu, 75252 Paris cedex 05, France 

Résumé

On donne une description complète du radical unipotent du groupe de Galois dʼun opérateur différentiel de type  , où   sont complètement réductibles. On traite dʼabord le cas dʼun radical unipotent abélien ; on montre ensuite comment y ramener le cas général. Pour citer cet article : C. Hardouin, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

The full text of this article is available in PDF format.
Abstract

In this Note, we give a complete description of the unipotent radical of the differential Galois group of an operator of the form   where   are completely reducible. We start with the case where this group has an Abelian unipotent radical; we then show how one can reduce the general case to the above case. To cite this article: C. Hardouin, C. R. Acad. Sci. Paris, Ser. I 341 (2005).

The full text of this article is available in PDF format.


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