Iterative q difference Galois Theory

2009/10/26 by Hardouin, Charlotte
#12H05 #12H10 #FOS: Mathematics #Group Theory (math.GR) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.0910.4826

Abstract

We propose in this paper a Galois theory of q-difference equations where q is a root of unity. This theory is the q difference analogue of the Galois theory of iterative differential equations, that is differential equations over fields of positive characteristic. This theory contains and generalizes the Galois theory of q difference equations developed by Singer and van der Put.

Related

• Galois theories for q-difference equations: comparison theorems
• Analytic q-difference equations
• Galois theory of q-difference equations
• A formulation of difference Galois theory
• The q-analogue of the wild fundamental group and the inverse problem of the Galois theory of q-difference equations