Filtering bases, cohomology of infinite-dimensional Lie algebras, and Laplace operators

DOI10.1007/BF01077290zbMath0593.17010MaRDI QIDQ1076128

F. V. Vaĭnshteĭn

Publication date: 1985

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

cohomologyLaplace operatoraffine Kac-Moody algebraLie algebra of polynomial vector fieldsfiltered basisL. V. Goncharova's theorem

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Lie algebras of vector fields and related (super) algebras (17B66) Cohomology of Lie (super)algebras (17B56)

Related Items (1)

On the complex analytic Gel'fand-Fuks cohomology of open Riemann surfaces

Cites Work

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• Infinite root systems, representations of graphs and invariant theory. II
• Characters of irreducible representations of the Lie algebra of vector fields on the circle
• Cohomology of Lie algebras of formal vector fields on the line
• Canonical form and stationary subalgebras of points of general position for simple linear Lie groups

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