Can we quantize Galois theory ?
Katsunori Saito, Hiroshi Umemura
TL;DR
This paper explores the quantization of Galois theory by presenting a non-linear difference-differential equation with a Galois group that is a non-commutative and non-co-commutative Hopf algebra.
Contribution
It introduces a novel non-linear difference-differential equation with a complex Hopf algebra Galois group, advancing the understanding of quantum Galois theory.
Findings
Galois group is a non-commutative Hopf algebra
The equation exhibits non-linear difference-differential behavior
Provides a new perspective on quantizing Galois theory
Abstract
We present a non-linear difference-differential equation whoes Galois group is a non-commutative and non-co-comutative Hopf algebra.
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Taxonomy
TopicsPolynomial and algebraic computation · Algebraic Geometry and Number Theory · Commutative Algebra and Its Applications