Extensions galoisiennes d’algèbres différentielles

A. Fahim

Vol. 180 (1997), No. 1, 7–40

DOI: 10.2140/pjm.1997.180.7

Abstract

We define the notion of a Galois extension of a differential field; we work with differential algebras which are more easy than differential fields. This definition is geometric and does not use Weil’s theorem found in Kolchin & Lang. We give the construction of the Picard-Vessiot extension associated to a differential equation; this construction is similar to the notion of a G-structure due to Bernard.

Milestones

Received: 4 January 1995

Revised: 3 August 1995

Published: 1 September 1997