Continuous cohomology of the Lie algebra of vector fields

DOI10.1090/MEMO/0253zbMath0482.58036OpenAlexW3143938866MaRDI QIDQ3940536

Toru Tsujishita

Publication date: 1981

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1195518052

zbMATH Keywords

Lie algebras of vector fieldsGelfand-Fuks cohomologycontinuous cohomology of Lie algebras

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) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32)

Related Items (5)

Lie Groups of Bundle Automorphisms and Their Extensions ⋮ Cohomology Classes Associated to Anomalies ⋮ On the cohomology of vector fields on parallelizable manifolds ⋮ Topological Hopf algebras and their Hopf-cyclic cohomology ⋮ On the complex analytic Gel'fand-Fuks cohomology of open Riemann surfaces

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