SPLIT COMPLEXES, CONTINUOUS COHOMOLOGY, AND LIE ALGEBRAS

DOI10.1093/qmath/45.3.279zbMath0847.55015OpenAlexW2065194501MaRDI QIDQ4319831

Robert H. Szczarba, Edgar H. jun. Brown

Publication date: 6 February 1995

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/45.3.279

zbMATH Keywords

Lie algebrasimplicial spacecontinuous cohomologyGelfand-Fuks cohomologysplit topological cochain complexesvector fields on a compact smooth manifold

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Cohomology of Lie (super)algebras (17B56) Chain complexes in algebraic topology (55U15) Continuous cohomology of Lie groups (22E41) Topological categories, foundations of homotopy theory (55U40)

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