5 citations · 7 across the 4 of their papers we have counts for
5 papers
Toward quantization of Galois theory
Akira Masuoka, Katsunori Saito, Hiroshi Umemura
This note is a development of our two previous papers, arXiv:1212.3392v1 and 1306.3660v1. The fundamental question is whether there exists a Galois theory, in which the Galois grou…
Toward quantized Picard-Vessiot theory, Further observations on our previous example
Katsunori Saito, Hiroshi Umemura
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. Bel…
Can we quantize Galois theory ?
Katsunori Saito, Hiroshi Umemura
We present a non-linear difference-differential equation whoes Galois group is a non-commutative and non-co-comutative Hopf algebra.
On the definition of the Galois group of linear differential equations
Katsunori Saito
Let us consider a linear differential equation over a differential field K. For a differential field extension L/K generated by a fundamental system of the equation, we show that G…
Quantization of Galois theory, Examples and Observations
Katsunori Saito, Hiroshi Umemura
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 lin…