Abstract
We study the inverse problem in the difference Galois theory of linear differential equations over the difference-differential field C(x) with derivation [Formula presented] and endomorphism f(x)↦f(x+1). Our main result is that every linear algebraic group, considered as a difference algebraic group, occurs as the difference Galois group of some linear differential equation over C(x).
Originalsprache | englisch |
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Aufsatznummer | 106854 |
Fachzeitschrift | Journal of Pure and Applied Algebra |
Jahrgang | 226 |
Ausgabenummer | 2 |
DOIs | |
Publikationsstatus | Veröffentlicht - Feb. 2022 |
ASJC Scopus subject areas
- Algebra und Zahlentheorie