The cohomology of invariant variational bicomplexes

DOI10.1007/BF00996103zbMath0843.58030OpenAlexW1991717610WikidataQ125130265 ScholiaQ125130265MaRDI QIDQ1903551

Ian M. Anderson, Juha Pohjanpelto

Publication date: 11 December 1995

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

Full work available at URL: https://doi.org/10.1007/bf00996103

zbMATH Keywords

group actionsLie algebra cohomologyinverse problem of calculus of variations

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Invariance and symmetry properties for PDEs on manifolds (58J70) Inverse problems in optimal control (49N45)

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Cites Work

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• On variation bicomplexes associated to differential equations
• Natural variational principles on Riemannian manifolds
• Higher order conservation laws and a higher order Noether's theorem
• On the inverse problem with symmetries, and the appearance of cohomologies in classical Lagrangian dynamics
• Differential invariants
• Group-theoretical foundations of classical mechanics: the Lagrangian gauge problem
• The equivariant inverse problem and the uniqueness of the Yang–Mills equations
• Symmetry reduction for the Kadomtsev–Petviashvili equation using a loop algebra
• Partial Differential Relations
• The equivariant inverse problem and the Maxwell equations

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