Extensions of differential representations of SL2 and tori

DOI10.1017/S1474748012000692zbMath1295.12008arXiv1103.2105MaRDI QIDQ4899958

Alexey Ovchinnikov, Andrey Minchenko

Publication date: 10 January 2013

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2105

zbMATH Keywords

differential Hopf algebrasdifferential algebraic groupsdifferential representation theoryrepresentation theory of \(SL_2\)

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Commutative rings of differential operators and their modules (13N10) Differential algebra (12H05)

Related Items (6)

Calculating differential Galois groups of parametrized differential equations, with applications to hypertranscendence ⋮ Calculating Galois groups of third-order linear differential equations with parameters ⋮ Parameterized Picard-Vessiot extensions and Atiyah extensions ⋮ Isomonodromic differential equations and differential categories ⋮ Zariski closures of reductive linear differential algebraic groups ⋮ On central extensions of simple differential algebraic groups

Cites Work

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• A Jordan-Hölder theorem for differential algebraic groups
• Zariski closures of reductive linear differential algebraic groups
• Note on Kovacic's algorithm
• Tannakian approach to linear differential algebraic groups.
• Differential Galois theory of linear difference equations
• Tannakian categories, linear differential algebraic groups, and parametrized linear differential equations
• An algorithm for solving second order linear homogeneous differential equations
• The classification of the semisimple differential algebraic groups and the linear semisimple differential algebraic Lie algebras
• The differential rational representation algebra on a linear differential algebraic group
• Invariant theory
• Galois groups of second and third order linear differential equations
• Liouvillian and algebraic solutions of second and third order linear differential equations
• Necessary conditions for Liouvillian solutions of (third order) linear differential equations
• Essential components of an algebraic differential equation
• Liouvillian solutions of linear differential equations of order three and higher
• Splitting fields and general differential Galois theory
• Hypertranscendance des systèmes aux différences diagonaux
• Differential Algebraic Subgroups of SL(2) and Strong Normality in Simple Extensions
• Geometry of Differential Polynomial Functions, I: Algebraic Groups
• Differential Algebraic Groups
• Jet schemes of locally complete intersection canonical singularities.

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