Diff\\érentielles non commutatives et th\\éorie de Galois diff\\érentielle ou aux diff\\érences
André, Yves
HAL, hal-00010032 / Harvested from HAL
Text on HAL
We show how the Galois-Picard_Vessiot theory of differential equations and difference equations, and the theory of holonomy groups in differential geometry, are different aspects of a unique Galois theory. The latter is based upon the construction and study of the tensor product of non commutative connections over a commutative base, without any curvature assumption. This theory provides an algebraic frame for the study of the confluence arising when the increment of a difference equation tends to 0.
Publié le : 2001-07-05
Classification:  [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM],  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],  [MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC] 
@article{hal-00010032,
     author = {Andr\'e, Yves},
     title = {Diff\\\'erentielles non commutatives et th\\\'eorie de Galois diff\\\'erentielle ou aux diff\\\'erences},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00010032}
}

André, Yves. Diff\\érentielles non commutatives et th\\éorie de Galois diff\\érentielle ou aux diff\\érences. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00010032/