On the continuous cohomology of the Lie algebra of vector fields

DOI10.3792/pjaa.53.134zbMath0476.58032OpenAlexW2074810377WikidataQ115219986 ScholiaQ115219986MaRDI QIDQ1160477

Toru Tsujishita

Publication date: 1977

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.53.134

zbMATH Keywords

cohomology of the Lie algebra of vector fields on a smooth manifold with trivial coefficientsnontrivial coefficients

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)

Related Items

Extensions of the Virasoro group and the Virasoro algebra by modules of tensor densities on \(S^ 1\), Coadjoint orbits of extensions of \(\text{Diff}^+(S^1)\) by modules of tensor densities., On the cohomology of vector fields on parallelizable manifolds, On sl(2)-relative cohomology of the Lie algebra of vector fields and differential operators, Generalizations of Virasoro group and Virasoro algebra through extensions by modules of tensor-densities on \(S^1\), The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra with values in natural modules, GLOBAL DEFORMATIONS OF THE WITT ALGEBRA OF KRICHEVER–NOVIKOV TYPE, An Elementary Proof of the Formal Rigidity of the Witt and Virasoro Algebra

Cites Work

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• On the theory and applications of differential torsion products
• Sur la cohomologie de l'algèbre de Lie des champs de vecteurs