On the non-linear cohomology of Lie equations. II

DOI10.1007/BF02392045zbMath0452.58025OpenAlexW4237099402MaRDI QIDQ1148598

Hubert Goldschmidt, Donald Spencer

Publication date: 1976

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392045

zbMATH Keywords

non-linear partial differential equationsLie equationsintegrability problem for formally transitive and formally integrable Lie equationsJordan-Hölder decomposition for a closed ideal of a transitive Lie algebranon-linear Spencer cohomologysolvability of overdetermined systems of linear partial differential equationstransitive Lie algebras

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Nonlinear higher-order PDEs (35G20) Jets in global analysis (58A20) Graded Lie (super)algebras (17B70) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Partial differential equations on manifolds; differential operators (58J99) Cohomology of Lie (super)algebras (17B56) Pseudogroups and differentiable groupoids (58H05) Overdetermined problems for partial differential equations and systems of partial differential equations (35N99)

Related Items (4)

Symmetry groups and group invariant solutions of partial differential equations ⋮ On the Structure of Real Transitive Lie Algebras ⋮ From PDEs to Pfaffian fibrations ⋮ The integrability problem for Lie equations

Cites Work

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