On Leibniz homology

DOI10.5802/aif.1403zbMath0821.17023OpenAlexW2316153303WikidataQ123290340 ScholiaQ123290340MaRDI QIDQ1337030

Teimouraz Pirashvili

Publication date: 5 October 1995

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1994__44_2_401_0

zbMATH Keywords

spectral sequencesnilpotent Lie algebrasemisimple Lie algebraLeibniz algebrasLeibniz homology

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Homological methods in Lie (super)algebras (17B55) Lie algebras and Lie superalgebras (17B99)

Related Items (39)

Leibniz cohomology and the calculus of variations ⋮ Relationships between factors of canonical central series of Leibniz algebras ⋮ Bipartite graphs and the structure of finite-dimensional semisimple Leibniz algebras ⋮ On Strongly Perfect Lie Algebras ⋮ Lie theory for symmetric Leibniz algebras ⋮ Leibniz cohomology and connections on differentiable manifolds ⋮ A rigid Leibniz algebra with non-trivial \(HL^2\) ⋮ Some remarks on semisimple Leibniz algebras ⋮ Tate–Shafarevich groups and algebras ⋮ On the cohomology of solvable Leibniz algebras ⋮ A non-abelian exterior product and homology of Leibniz algebras ⋮ Sympathetic Lie algebras and adjoint cohomology for Lie algebras ⋮ Cohomology of Leibniz algebras ⋮ About Leibniz cohomology and deformations of Lie algebras ⋮ On Leibniz cohomology ⋮ Spectral sequences for commutative Lie algebras ⋮ On the toroidal Leibniz algebras ⋮ The second cohomology group of simple Leibniz algebras ⋮ Leibniz and Hochschild homology ⋮ Leibniz homology of the Galilei algebra ⋮ The Leibniz algebras whose subalgebras are ideals ⋮ Ext groups in the category of bimodules over a simple Leibniz algebra ⋮ On the Leibniz (co)homology of the Lie algebra of the Euclidean group ⋮ FACTOR-COMPLEX FOR LEIBNIZ COHOMOLOGY ⋮ Leibniz algebras with pseudo-Riemannian bilinear forms ⋮ A cohomological characterization of Leibniz central extensions of Lie algebras ⋮ A structure theorem for Leibniz homology ⋮ On the Harmonic Oscillator Algebra ⋮ Calculations on Lie algebra of the group of affine symplectomorphisms ⋮ A Relative Theory for Leibniz n-Algebras ⋮ Low-Dimensional Cohomology Groups of the Lie Algebras W(a,b) ⋮ Leibniz bialgebras, classical Yang-Baxter equations and dynamical systems ⋮ Leibniz cohomology for differentiable manifolds ⋮ Representations and formal deformations of Hom-Leibniz algebras ⋮ Low-dimensional non-abelian Leibniz cohomology ⋮ Leibniz algebras as non-associative algebras ⋮ Cohomologies and deformations of right-symmetric algebras ⋮ Leibniz \(H\)-pseudoalgebras ⋮ Leibniz central extensions of Lie superalgebras

Cites Work

• Universal enveloping algebras of Leibniz algebras and (co)homology
• Cohomologies of parabolic Lie algebras
• Homologie et cohomologie des algèbres de Lie
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