Cohomologies of Lie algebras of formal vector fields preserving a foliation

DOI10.2977/PRIMS/1195174870zbMath0682.17010OpenAlexW2037376228MaRDI QIDQ1824024

Atsumi Hamasaki

Publication date: 1988

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/1195174870

zbMATH Keywords

cohomologyLie algebraformal vector fields

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Homology and cohomology of Lie groups (57T10) Cohomology of Lie (super)algebras (17B56) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32)

Cites Work

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• On the cohomology of the Lie algebra of formal vector fields preserving a flag
• Continuous cohomologies of Lie algebras of formal G-invariant vector fields and obstructions to lifting foliations
• Cohomologies of the Lie algebra of formal vector fields with coefficients in its adjoint space and variations of characteristic classes of foliations
• Foliated bundles and characteristic classes
• Certain Weil algebras of infinite-dimensional Lie algebras
• A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras
• Some Stable Results on the Cohomology of the Classical Infinite-Dimensional Lie Algebras
• COHOMOLOGY OF THE LIE ALGEBRA OF FORMAL VECTOR FIELDS

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