Recognizing the symmetry type of O. D. E. s

DOI10.1016/S0022-4049(00)00146-8zbMath1004.34023MaRDI QIDQ5951559

Jan Draisma

Publication date: 6 August 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

algorithmisotropy subalgebraordinary differential equation symmetry

Mathematics Subject Classification ID

Analysis of algorithms (68W40) Lie algebras of vector fields and related (super) algebras (17B66) Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (2)

Transitive Lie algebras of vector fields: an overview ⋮ Algorithmic calculus for Lie determining systems

Uses Software

• GAP
• Maple

Cites Work

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• Symmetries of second-order ordinary differential equations and Elie Cartan's method of equivalence
• An algorithm for determining the size of symmetry groups
• Geometry and structure of Lie pseudogroups from infinitesimal defining systems
• Infinite dimensional primitive Lie algebras
• Primitive actions and maximal subgroups of Lie groups
• Lie symmetries and differential Galois groups of linear equations
• Classification of Second-Order Ordinary Differential Equations Admitting Lie Groups of Fibre-Preserving Point Symmetries
• Finding abstract Lie symmetry algebras of differential equations without integrating determining equations
• Induced and Produced Representations of Lie Algebras
• Lie Algebras of Differential Operators in Two Complex Variables
• An algebraic model of transitive differential geometry

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