Galois theory of difference equations with periodic parameters
Commutative Algebra
2014-04-24 v4 Quantum Algebra
Rings and Algebras
Abstract
We develop a Galois theory for systems of linear difference equations with periodic parameters, for which we also introduce linear difference algebraic groups. We then apply this to constructively test if solutions of linear q-difference equations, with complex q, not a root of unity, satisfy any polynomial q'-difference equations with q' being a root of unity.
Keywords
Cite
@article{arxiv.1009.1159,
title = {Galois theory of difference equations with periodic parameters},
author = {Benjamin Antieau and Alexey Ovchinnikov and Dmitry Trushin},
journal= {arXiv preprint arXiv:1009.1159},
year = {2014}
}
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42 pages