Cohomology of Heisenberg Lie Algebras

DOI10.2307/2044343zbMath0509.17006OpenAlexW4236172492MaRDI QIDQ4748315

L. J. Santharoubane

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2044343

zbMATH Keywords

cocyclescoboundarycohomology of Heisenberg Lie algebras

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Cohomology of Lie (super)algebras (17B56) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15)

Related Items (17)

Adjoint cohomology of two-step nilpotent Lie superalgebras ⋮ On the cohomology of extensions by a Heisenberg Lie algebra ⋮ Betti number behavior for nilpotent Lie algebras ⋮ Hochschild cohomology of generalised Grassmannians ⋮ Lattices in almost abelian Lie groups with locally conformal Kähler or symplectic structures ⋮ Cohomology of Heisenberg Lie superalgebras ⋮ The cohomology of the cotangent bundle of Heisenberg groups. ⋮ The cohomology of the Heisenberg Lie algebras over fields of finite characteristic ⋮ Free abelian covers, short loops, stable length, and systolic inequalities ⋮ The Betti numbers for a family of solvable Lie algebras ⋮ On the homology of graded Lie algebras ⋮ On the adjoint homology of 2-step nilpotent Lie algebras ⋮ The Betti numbers for Heisenberg Lie algebras ⋮ Membrane sigma-models and quantization of non-geometric flux backgrounds ⋮ Adjoint and trivial cohomologies of nilpotent complex Lie algebras of dimension \(\leq 7\) ⋮ Cohomology operations for Lie algebras ⋮ On a certain class of locally conformal symplectic structures of the second kind

Cites Work

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• Cohomology of Lie algebras
• Cohomology Theory of Lie Groups and Lie Algebras
• Homologie et cohomologie des algèbres de Lie
• On the Euler Characteristic of a Lie Algebra

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