Iterative q difference Galois Theory
Quantum Algebra
2009-10-27 v1 Group Theory
Abstract
We propose in this paper a Galois theory of -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.
Keywords
Cite
@article{arxiv.0910.4826,
title = {Iterative q difference Galois Theory},
author = {Charlotte Hardouin},
journal= {arXiv preprint arXiv:0910.4826},
year = {2009}
}
Comments
to appear in "Journal fur die reine und angewandte Mathematik (Crelle's Journal)"