scientific article

zbMath0599.57018MaRDI QIDQ3733818

Alain Guichardet

Publication date: 1984

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Lie algebra cohomologyLyndon-Hochschild-Serre spectral sequencehigher cohomology groupsexact cohomology sequencerepresentations of real semisimple Lie groups

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Spectral sequences, hypercohomology (18G40) Homological methods in group theory (20J05) Semisimple Lie groups and their representations (22E46) Cohomology of Lie (super)algebras (17B56) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) General theory of spectral sequences in algebraic topology (55T05) Homology and homotopy of topological groups and related structures (57Txx)

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Finite dimensionality of \(\text{Ext}^ n\)'s and \(\text{Tor}_ n\)'s of simple modules over one class of algebras

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