Sur la cohomologie de l'algèbre de Lie des champs de vecteurs de contact formels

DOI10.5802/aif.801zbMath0477.57016OpenAlexW2330834937MaRDI QIDQ1160951

Claude Roger

Publication date: 1980

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1980__30_3_249_0

zbMATH Keywords

cohomology of vector fieldsGelfand-Fuks cohomology of formal contact- vectorfields

Mathematics Subject Classification ID

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)

Cites Work

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• Foliated bundles and characteristic classes
• Cohomologie 1-différentiable des algèbres de Lie attachees à une variété symplectique ou de contact
• Cohomology of Hamiltonian and related formal vector field Lie algebras
• The classification of the irreducible complex algebras of infinite types
• The classification of the real primitive infinite Lie algebras
• On the cohomologies of infinite-dimensional Lie algebras of vector fields
• One-dimensional cohomologies of a Lie algebra of contact vector fields
• Upper bounds for cohomology of infinite-dimensional Lie algebras
• COHOMOLOGY OF THE LIE ALGEBRA OF FORMAL VECTOR FIELDS

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