Difference Galois theory of linear differential equations
Commutative Algebra
2014-04-15 v2 Algebraic Geometry
Dynamical Systems
Rings and Algebras
Abstract
We develop a Galois theory for linear differential equations equipped with the action of an endomorphism. This theory is aimed at studying the difference algebraic relations among the solutions of a linear differential equation. The Galois groups here are linear difference algebraic groups, i.e., matrix groups defined by algebraic difference equations.
Keywords
Cite
@article{arxiv.1302.7198,
title = {Difference Galois theory of linear differential equations},
author = {Lucia Di Vizio and Charlotte Hardouin and Michael Wibmer},
journal= {arXiv preprint arXiv:1302.7198},
year = {2014}
}
Comments
43 pages. Final version, accepted for publication in Advances in Mathematics