On the cohomology of vector fields on parallelizable manifolds

DOI10.5802/AIF.2402zbMath1157.17007arXiv0705.3382OpenAlexW2101914376MaRDI QIDQ954811

Yuly Billig, Karl-Hermann Neeb

Publication date: 18 November 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0705.3382

zbMATH Keywords

continuous cohomologyGelfand-Fuks cohomologycohomology of vector fields with values in differential forms

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Cohomology of Lie (super)algebras (17B56) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32)

Related Items (2)

Lie Groups of Bundle Automorphisms and Their Extensions ⋮ Crossed morphisms, integration of post-Lie algebras and the post-Lie Magnus expansion

Cites Work

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• Kähler differentials and coverings of complex simple Lie algebras extended over a commutative algebra
• The centroid of extended affine and root graded Lie algebras
• Lie algebra extensions and higher order cocycles
• On the continuous cohomology of the Lie algebra of vector fields
• Cohomology of the Lie algebra of smooth vector fields of a manifold, associated to the Lie derivative of smooth forms
• Infinite dimensional Lie superalgebras
• Lowest-energy representations of non-centrally extended diffeomorphism algebras
• Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
• Irreducible representations for toroidal Lie algebras
• Cohomologies of Lie algebra of vector fields with nontrivial coefficients
• Cohomologies of some infinite-dimensional Lie algebras
• Cohomology of Lie algebras
• A category of modules for the full toroidal Lie algebra
• Realization of graded-simple algebras as loop algebras
• THE DE RHAM COMPLEX ON INFINITE DIMENSIONAL MANIFOLDS
• Continuous cohomology of the Lie algebra of vector fields
• Homologie des complexes de formes différentielles d'ordre supérieur
• Sur la cohomologie de l'algèbre de Lie des champs de vecteurs
• HOMOGENEOUS SPACES OF INFINITE-DIMENSIONAL LIE ALGEBRAS AND CHARACTERISTIC CLASSES OF FOLIATIONS
• Non-Abelian Extensions of Topological Lie Algebras
• COHOMOLOGY OF THE LIE ALGEBRA OF FORMAL VECTOR FIELDS
• Cohomology Theory of Lie Groups and Lie Algebras

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