On the low dimensional cohomology of some infinite dimensional simple Lie algebras

DOI10.2140/pjm.1979.83.27zbMath0438.17009OpenAlexW2029916290MaRDI QIDQ1141737

Stephen Berman

Publication date: 1979

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1979.83.27

zbMATH Keywords

Cartan matrixLie algebra cohomologyLie algebrassimple Lie algebrainfinite dimensionalinvariant cocycles

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Cohomology of Lie (super)algebras (17B56)

Related Items (5)

Derivations and central extensions of finitely generated graded Lie algebras ⋮ AUTOMORPHISMS AND DERIVATIONS OF NILRADICALS OF BOREL SUBALGEBRAS IN KAC–MOODY ALGEBRAS ⋮ Representations of the Local Area-Preserving Lie Algebra for the Klein Bottle ⋮ A cohomological characterization of Leibniz central extensions of Lie algebras ⋮ The second cohomology group for Kac-Moody Lie algebras and Kähler differentials

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