Iterative q difference Galois Theory

Details Iterative q difference Galois Theory Iterative q difference Galois Theory

2009-10-26

arxiv.org/abs/0910.4826v1

Mathematics

Quantum Algebra

to appear in "Journal fur die reine und angewandte Mathematik (Crelle's Journal)"

Scientific paper

We propose in this paper a Galois theory of $q$-difference equations where q
is a root of unity. This theory is the q difference analogue of the Galois
theory of iterative differential equations, that is differential equations over
fields of positive characteristic. This theory contains and generalizes the
Galois theory of q difference equations developed by Singer and van der Put.

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