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arXiv · 1312.4682

Toward quantized Picard-Vessiot theory, Further observations on our previous example

Katsunori Saito·Hiroshi Umemura
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Abstract

It is quite natural to wonder whether there is a difference-differential equations, the Galois group of which is a quantum group that is neither commutative nor co-commutative. Believing that there was no such linear equations, we explored non-linear equations and discovered a such equation. We show that the example is related with a linear equation. We treat only one charming example. It is not, however, an isolated example. We open a window that allows us to have a look at a quantized Picard-Vessiot theory.

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BibTeXRIS

Katsunori Saito, Hiroshi Umemura. 2013-12-17. Toward quantized Picard-Vessiot theory, Further observations on our previous example. https://arxiv.org/abs/1312.4682

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