Maurer–Cartan equations for Lie symmetry pseudogroups of differential equations

DOI10.1063/1.1836015zbMath1076.37054OpenAlexW2026240004MaRDI QIDQ3024222

Jeongoo Chen, Juha Pohjanpelto, Peter J. Olver

Publication date: 30 June 2005

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1836015

Mathematics Subject Classification ID

Related Items (7)

The generating set of the differential invariant algebra and Maurer-Cartan equations of a (2+1)-dimensional Burgers equation ⋮ Integrable partial differential equations and Lie-Rinehart algebras ⋮ Coverings of differential equations and Cartan's structure theory of Lie pseudo-groups ⋮ Reduction of exterior differential systems with infinite dimensional symmetry groups ⋮ Deformed cohomologies of symmetry pseudo-groups and coverings of differential equations ⋮ Persistence of freeness for Lie pseudogroup actions ⋮ Differential invariant algebras of Lie pseudo-groups

Cites Work

• Geometry and structure of Lie pseudogroups from infinitesimal defining systems
• Moving coframes. II: Regularization and theoretical foundations
• The infinite groups of Lie and Cartan. I: The transitive groups
• Invariant Euler--Lagrange equations and the invariant variational bicomplex
• Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
• Finding abstract Lie symmetry algebras of differential equations without integrating determining equations
• Symmetries of the Kadomtsev-Petviashvili equation
• Infinitely many Lax pairs and symmetry constraints of the KP equation
• Equations of arbitrary order invariant under the Kadomtsev–Petviashvili symmetry group
• On the Local Theory of Continuous Infinite Pseudo Groups I
• Unnamed Item

This page was built for publication: Maurer–Cartan equations for Lie symmetry pseudogroups of differential equations