On the relation between weak and strong invariance of differential equations

DOI10.1007/BF00749730zbMath0826.58043OpenAlexW2018013306MaRDI QIDQ1312110

José F. Cariñena, Pavel Winternitz, Mariano A. del Olmo

Publication date: 22 November 1995

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

Full work available at URL: https://doi.org/10.1007/bf00749730

zbMATH Keywords

Lie groupLie algebra cohomologyinvariance of differential equations

Mathematics Subject Classification ID

Homology and cohomology of Lie groups (57T10) Invariance and symmetry properties for PDEs on manifolds (58J70) Cohomology of Lie (super)algebras (17B56) Lie groups (22E99)

Related Items

Symmetry of stochastic non-variational differential equations, Classification of invariant wave equations, ON THE NOTION OF CONDITIONAL SYMMETRY OF DIFFERENTIAL EQUATIONS, On the geometry of twisted prolongations, and dynamical systems, Reduction of systems of first-order differential equations via \(\Lambda \)-symmetries, ON THE NOTION OF CONDITIONAL SYMMETRY OF DIFFERENTIAL EQUATIONS, Lie group classification of second-order ordinary difference equations, ASYMPTOTIC SCALING SYMMETRIES FOR NONLINEAR PDES, "WEAK" SYMMETRIES AND ADAPTED VARIABLES FOR DIFFERENTIAL EQUATIONS, Simple and collective twisted symmetries, GEOMETRIC HAMILTON–JACOBI THEORY

Cites Work

• Nonlinear equations invariant under the Poincaré, similitude, and conformal groups in two-dimensional space-time
• Noncanonical groups of transformations, anomalies, and cohomology
• Evolution equations invariant under two-dimensional space–time Schrödinger group
• Symmetries and differential equations
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