On the cohomology of the invariant Euler--Lagrange complex

DOI10.1007/s10440-011-9638-2zbMath1251.49048OpenAlexW2161568247MaRDI QIDQ645021

Francis Valiquette, Robert Thompson

Publication date: 8 November 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-011-9638-2

zbMATH Keywords

Lie groupLie algebra cohomologymoving framevariational bicomplexinverse problem of calculus of variations

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Pseudogroups and differentiable groupoids (58H05) Inverse problems in optimal control (49N45)

Related Items (8)

Inductive moving frames ⋮ Differential invariants of Camassa-Holm equation ⋮ A Geometric Framework to Compare PDEs and Classical Field Theories ⋮ Equivalence of one-dimensional second-order linear finite difference operators ⋮ Symmetry Reduction of Ordinary Differential Equations Using Moving Frames ⋮ Recursive moving frames for Lie pseudo-groups ⋮ Point equivalence of second-order ODEs: maximal invariant classification order ⋮ Symmetry reduction of ordinary finite difference equations using moving frames

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