On the Computation of the Galois Group of Linear Difference Equations

TL;DR

This paper introduces an algorithm to compute the Galois group of linear difference equations with rational function coefficients, advancing the understanding of their symmetries and solution structures.

Contribution

The paper provides a novel algorithm specifically designed for determining the Galois group of linear difference equations with rational coefficients.

Findings

Algorithm successfully computes Galois groups for various examples.

Enhances understanding of symmetries in linear difference equations.

Potential applications in solving and analyzing difference equations.

Abstract

We present an algorithm that determines the Galois group of linear difference equations with rational function coefficients.