Almost-simple affine difference algebraic groups

DOI10.1007/s00209-020-02692-5zbMath1475.12013arXiv2007.07137OpenAlexW3127414650MaRDI QIDQ2231141

Michael Wibmer

Publication date: 29 September 2021

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.07137

zbMATH Keywords

difference algebraic geometrydifference algebraic groupsdifference Hopf algebras

Mathematics Subject Classification ID

Group schemes (14L15) Difference algebra (12H10) Hopf algebras and their applications (16T05) Affine algebraic groups, hyperalgebra constructions (14L17)

Related Items (3)

Torsors for difference algebraic groups ⋮ Monomial difference ideals ⋮ DIFFERENCE ALGEBRAIC RELATIONS AMONG SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS

Cites Work

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• Galois groups for integrable and projectively integrable linear difference equations
• A Jordan-Hölder theorem for differential algebraic groups
• Differential Galois theory of linear difference equations
• A twisted theorem of Chebotarev
• Differential algebraic groups of finite dimension
• Difference algebraic subgroups of commutative algebraic groups over finite fields
• Difference modules and difference cohomology
• Strongly étale difference algebras and Babbitt's decomposition
• Hypertranscendence of solutions of Mahler equations
• Algebraic groups as difference Galois groups of linear differential equations
• Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions
• Functional relations for solutions of \(q\)-difference equations
• Indecomposability for differential algebraic groups
• Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence
• A Galois-theoretic proof of the differential transcendence of the incomplete gamma function
• Difference Galois theory of linear differential equations
• Difference algebra
• A correspondence between Hopf ideals and sub-Hopf algebras
• On the computation of the parameterized differential Galois group for a second-order linear differential equation with differential parameters
• A note on groups definable in difference fields
• Unipotent differential algebraic groups as parameterized differential Galois groups
• On subgroups of semi-abelian varieties defined by difference equations
• DIFFERENCE ALGEBRAIC RELATIONS AMONG SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS
• Algebraic Groups
• MODEL THEORY OF DIFFERENCE FIELDS, II: PERIODIC IDEALS AND THE TRICHOTOMY IN ALL CHARACTERISTICS
• Approche galoisienne de la transcendance diff\'erentielle
• Some Basic Theorems on Algebraic Groups
• A positive characteristic Manin–Mumford theorem
• On algebraic 𝜎-groups
• Computing the differential Galois group of a parameterized second-order linear differential equation
• Generalized differential Galois theory
• Calculating Galois groups of third-order linear differential equations with parameters
• Hypertranscendence and linear difference equations
• On central extensions of simple differential algebraic groups
• Reductive Linear Differential Algebraic Groups and the Galois Groups of Parameterized Linear Differential Equations
• On the Ascending Chain Condition for Mixed Difference Ideals
• Bigness in Compatible Systems
• Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation
• Computing the Galois group of some parameterized linear differential equation of order two
• -Galois Theory of Linear Difference Equations
• Galois theory of parameterized differential equations and linear differential algebraic groups
• The Manin-Mumford conjecture and the model theory of difference fields

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