On the cohomologies of infinite-dimensional Lie algebras of vector fields

DOI10.1007/BF01094489zbMath0212.28002MaRDI QIDQ2544576

Mark V. Losik

Publication date: 1970

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Cohomology of Lie (super)algebras (17B56)

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Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients ⋮ (Re)constructing Lie groupoids from their bisections and applications to prequantisation ⋮ Diagonal cohomology of the Lie algebra of vector fields ⋮ Unnamed Item ⋮ The stable jet range of differential complexes ⋮ On the continuous cohomology of the Lie algebra of vector fields ⋮ Sur la cohomologie de l'algèbre de Lie des champs de vecteurs de contact formels ⋮ Cohomology of Lie algebras over a manifold ⋮ On the cohomology of the spaces of differential operators acting on skewsymmetric tensor fields or on forms, as modules of the Lie algebra of vector fields. ⋮ Differential representations of vector fields ⋮ Cohomologies of the Lie algebra of vector fields with coefficients in a trivial unitary representation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Derivations of the Lie algebras of differential operators ⋮ On cohomologies of Lie algebras of vector fields with nontrivial coefficients

Cites Work

• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Cohomology of Lie algebras
• The cohomologies of the lie algebra of the vector fields in a circle
• Cohomologies of Lie algebras of vector fields on a manifold
• Cohomology Theory of Lie Groups and Lie Algebras
• Homologie et cohomologie des algèbres de Lie

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