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arXiv · 1302.7198

Difference Galois theory of linear differential equations

Lucia Di Vizio·Charlotte Hardouin·Michael Wibmer
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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.

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Lucia Di Vizio, Charlotte Hardouin, Michael Wibmer. 2014-04-14. Difference Galois theory of linear differential equations. https://arxiv.org/abs/1302.7198

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