2012/12/14 by Katsunori Saito, Saito, Katsunori, Hiroshi Umemura +1
Computer Science · Mathematics · Physics and Astronomy · #12H05 #12H10 #16T05 #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation #Quantum Algebra (math.QA) #math.QA #msc:12H05 #msc:12H10 #msc:16T05
paper · pdf · doi:10.48550/arxiv.1212.3392
48 pages
arxiv created 2012/12/14 · openalex publication_date 2012/12/14 · arxiv updated 2012/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.