Quantization of Galois theory, Examples and Observations
Quantum Algebra
2012-12-17 v1
Abstract
If we consider a q-analogue of linear differential equation, Galoois group of the q-analogue difference equation is still a linear algebraic group. Namely, by a quantization of linear differential equation, Galois group is not quantized. We show by Examples that if we consider non-linear equations Galois group is quantized. The results depend on general differential Galois theory for non-linear differential equations developed by the second author.
Keywords
Cite
@article{arxiv.1212.3392,
title = {Quantization of Galois theory, Examples and Observations},
author = {Katsunori Saito and Hiroshi Umemura},
journal= {arXiv preprint arXiv:1212.3392},
year = {2012}
}
Comments
48 pages