Algebraic groups as difference Galois groups of linear differential equations

Annette Bachmayr, Michael Wibmer*

*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikelBegutachtung

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).

Originalspracheenglisch
Aufsatznummer106854
FachzeitschriftJournal of Pure and Applied Algebra
Jahrgang226
Ausgabenummer2
DOIs
PublikationsstatusVeröffentlicht - Feb. 2022

ASJC Scopus subject areas

  • Algebra und Zahlentheorie

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