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arXiv · 1212.3392

Quantization of Galois theory, Examples and Observations

Katsunori Saito·Hiroshi Umemura
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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.

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Katsunori Saito, Hiroshi Umemura. 2012-12-14. Quantization of Galois theory, Examples and Observations. https://arxiv.org/abs/1212.3392

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