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About derivations and vector-valued differential forms

โœ Scribed by A. L. Onishchik


Publisher
Springer US
Year
1998
Tongue
English
Weight
719 KB
Volume
90
Category
Article
ISSN
1573-8795

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A rather simple natural outer derivation of the graded Lie algebra of all vector valued differential forms with the Fr6licher-Nijenhuis bracket turns out to be a differential and gives rise to a cohomology of the manifold, which is functorial under local diffeomorphisms. This cohomology is determine

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An older geometric technique for the study of invariance groups of partial differential equations, originally proposed by one of the authors and F. B. Estabrook, is generalized and extended to problems involving exterior equations for vector-valued or Lie algebra-valued exterior differential forms.