Differential Algebraic Groups

DOI10.2307/2373764zbMath0258.14013OpenAlexW1987867396MaRDI QIDQ5672741

Phyllis Joan Cassidy

Publication date: 1972

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2373764

Mathematics Subject Classification ID

Differential algebra (12H05) Linear algebraic groups and related topics (20G99) Algebraic groups (14L99)

Related Items (62)

On subgroups of the additive group in differentially closed fields ⋮ Differential Algebraic Lie Algebras ⋮ DIFFERENTIAL-ALGEBRAIC JET SPACES PRESERVE INTERNALITY TO THE CONSTANTS ⋮ Group bundles and group connections ⋮ Linear algebraic groups as parameterized Picard-Vessiot Galois groups ⋮ On the computation of the parameterized differential Galois group for a second-order linear differential equation with differential parameters ⋮ Loewy and primary decompositions of \(\mathcal D\)-modules ⋮ Splitting differential algebraic groups ⋮ Differential Tannakian categories ⋮ Unipotent differential algebraic groups as parameterized differential Galois groups ⋮ Differential characters of abelian varieties over \(p\)-adic fields ⋮ Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence ⋮ Calculating Galois groups of third-order linear differential equations with parameters ⋮ Differential Algebraic Group Structures on the Plane ⋮ Differential and difference algebra ⋮ The classification of the semisimple differential algebraic groups and the linear semisimple differential algebraic Lie algebras ⋮ Computing differential Galois groups of second-order linear \(q\)-difference equations ⋮ The Picard-Vessiot theory, constrained cohomology, and linear differential algebraic groups ⋮ Parameterized Picard-Vessiot extensions and Atiyah extensions ⋮ Intrinsic Approach to Galois Theory of 𝑞-Difference Equations ⋮ Computation of the unipotent radical of the differential Galois group for a parameterized second-order linear differential equation ⋮ Generalized differential Galois theory ⋮ New classes of parameterized differential Galois groups ⋮ A procedure to prove statements in differential geometry ⋮ Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation ⋮ A Galois-theoretic proof of the differential transcendence of the incomplete gamma function ⋮ Galois theory of aigebraic and differential equations ⋮ Inheritance of properties of spectra ⋮ Difference Galois theory of linear differential equations ⋮ Isomonodromic differential equations and differential categories ⋮ Tannakian approach to linear differential algebraic groups. ⋮ Extensions of differential representations of SL₂ and tori ⋮ Differential Galois theory of linear difference equations ⋮ Computing the Galois group of some parameterized linear differential equation of order two ⋮ Projective isomonodromy and Galois groups ⋮ Galois groups for integrable and projectively integrable linear difference equations ⋮ Algebraic groups ⋮ A Jordan-Hölder theorem for differential algebraic groups ⋮ Zariski closures of reductive linear differential algebraic groups ⋮ Typical differential dimension of the intersection of linear differential algebraic groups ⋮ Differential algebra for derivations with nontrivial commutation rules ⋮ The differential rational representation algebra on a linear differential algebraic group ⋮ Infinitesimal Mordell-Lang ⋮ Kolchin schemes ⋮ Arithmetic partial differential equations. I ⋮ On Lie algebras of differential formal groups of Ritt ⋮ Functional relations for solutions of \(q\)-difference equations ⋮ Tannakian categories, linear differential algebraic groups, and parametrized linear differential equations ⋮ Multiple Factorizations of Bivariate Linear Partial Differential Operators ⋮ Triviality of differential Galois cohomology of linear differential algebraic groups ⋮ Model theory and the Tannakian formalism ⋮ Nullstellensatz over Quasifields ⋮ Special issue: Differential algebra and differential equations ⋮ On central extensions of simple differential algebraic groups ⋮ Automorphism groups of differentially closed fields ⋮ Hypertranscendence and linear difference equations ⋮ Differential Galois cohomology and parameterized Picard–Vessiot extensions ⋮ Effective bound for the geometric Lang conjecture ⋮ The Kostant structure theorems for K/k-Hopf algebras ⋮ Galois Theory of Difference Equations with Periodic Parameters ⋮ Arithmetic differential equations on \(\mathrm{GL}_{n}\). I: Differential cocycles ⋮ Global sections of diffspec

This page was built for publication: Differential Algebraic Groups