Cohomologies of Lie algebras of vector fields with coefficients in adjoint representations. Foliated case

DOI10.2977/prims/1195189074zbMath0407.57023OpenAlexW2097793328MaRDI QIDQ1258116

Yukihiro Kanie

Publication date: 1978

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195189074

zbMATH Keywords

Cohomologies of Lie Algebras of Vector FieldsVector Fields Locally Preserving the Foliation FWith Coefficients in Adjoint Representations

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32)

Related Items (5)

Some Lie algebras of vector fields on foliated manifolds and their derivation algebras ⋮ Foliations ⋮ The first cohomology groups of infinite dimensional Lie algebras ⋮ Some lie algebras of vector fields and their derivations Case of partially classical type ⋮ Derivations of the Lie algebras of differential operators

Cites Work

• Unnamed Item
• Unnamed Item
• A remark on the group of automorphisms of a foliation having a dense leaf
• On the homotopy type of FDiff \((S^3,{\mathcal F}_R)\)
• Cohomologies of Lie algebras of vector fields with coefficients in adjoint representations, Hamiltonian case
• Cohomologies of Lie algebras of vector fields with coefficients in adjoint representations case of classical type

This page was built for publication: Cohomologies of Lie algebras of vector fields with coefficients in adjoint representations. Foliated case