Generalized Differential Galois Theory
Exactly Solvable and Integrable Systems
2007-07-25 v1
Abstract
A Galois theory of differential fields with parameters is developed in a manner that generalizes Kolchin's theory. It is shown that all connected differential algebraic groups are Galois groups of some appropriate differential field extension.
Cite
@article{arxiv.0707.3583,
title = {Generalized Differential Galois Theory},
author = {Peter Landesman},
journal= {arXiv preprint arXiv:0707.3583},
year = {2007}
}
Comments
71 pages, part of author's Phd. thesis