On a general difference Galois theory. II

DOI10.5802/aif.2506zbMath1194.12006OpenAlexW4230746656MaRDI QIDQ962061

Hiroshi Umemura, Shuji Morikawa

Publication date: 6 April 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2009__59_7_2733_0/

zbMATH Keywords

discrete dynamical systemintegrable dynamical systemdifference Galois theoryGalois groupoid

Mathematics Subject Classification ID

Relationships between algebraic curves and integrable systems (14H70) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Pseudogroups and differentiable groupoids (58H05) Difference algebra (12H10)

Related Items (9)

Hiroshi Umemura and French mathematics ⋮ Mathematical works of Hiroshi Umemura ⋮ Toward quantization of Galois theory ⋮ Intrinsic Approach to Galois Theory of 𝑞-Difference Equations ⋮ Real difference Galois theory ⋮ Toward differentiation and integration between Hopf algebroids and Lie algebroids ⋮ On the finite dual of a cocommutative Hopf algebroid. Application to linear differential matrix equations and Picard-Vessiot theory. ⋮ On a general difference Galois theory. I ⋮ Discrete Burgers' equation, binomial coefficients and Mandala

Cites Work

• On the equivalence of general differential Galois theories
• Galoisian envelope of a rational map of \(\mathbb P^1\)
• Invitation to Galois theory
• Integrable maps
• Differential Galois theory of infinite dimension
• Sous-groupes algébriques de rang maximum du groupe de Cremona
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