Manifolds of smooth maps IV : theorem of De Rham
P. Michor (1983)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “The cohomology of the diffeomorphism group of a manifold is a Gelfand-Fuks cohomology”
Manifolds of smooth maps IV : theorem of De Rham
Leibniz cohomology for differentiable manifolds
Jerry M. Lodder (1998)
Annales de l'institut Fourier
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We propose a definition of Leibniz cohomology, , for differentiable manifolds. Then becomes a non-commutative version of Gelfand-Fuks cohomology. The calculations of reduce to those of formal vector fields, and can be identified with certain invariants of foliations.
An introduction to some novel applications of Lie algebra cohomology in mathematics and physics.
José Adolfo de Azcárraga, José Manuel Izquierdo, Juan Carlos Pérez Bueno (2001)
RACSAM
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En esta nota se presenta en primer lugar una introducción autocontenida a la cohomología de álgebras de Lie, y en segundo lugar algunas de sus aplicaciones recientes en matemáticas y física.
Isomorphisms of Lie algebras of vector fields
Marc De Wilde, Pierre B. A. Lecomte (1982)
Commentationes Mathematicae Universitatis Carolinae
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The local integration of Leibniz algebras
Simon Covez (2013)
Annales de l’institut Fourier
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This article gives a local answer to the coquecigrue problem for Leibniz algebras, that is, the problem of finding a generalization of the (Lie) group structure such that Leibniz algebras are the corresponding tangent algebra structure. Using links between Leibniz algebra cohomology and Lie rack cohomology, we generalize the integration of a Lie algebra into a Lie group by proving that every Leibniz algebra is isomorphic to the tangent Leibniz algebra of a local Lie rack. This article...