Galois theory of difference equations with periodic parameters

Details Galois theory of difference equations with periodic parameters Galois theory of difference equations with periodic parameters

2010-09-06

arxiv.org/abs/1009.1159v2

Mathematics

Commutative Algebra

23 pages; several misprints corrected, mainly editorial changes

Scientific paper

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.

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