Differential Galois Theory and Isomonodromic Deformations
Differential Galois Theory and Isomonodromic Deformations
We present a geometric setting for the differential Galois theory of $G$-invariant connections with parameters. As an application of some classical results on differential algebraic groups and Lie algebra bundles, we see that the Galois group of a connection with parameters with simple structural group $G$ is determined by its …