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