Adjoint and trivial cohomologies of nilpotent complex Lie algebras of dimension \(\leq 7\)

DOI10.1155/2008/805305zbMath1243.17005OpenAlexW2150779098WikidataQ58644854 ScholiaQ58644854MaRDI QIDQ1008532

J. Martínez

Publication date: 30 March 2009

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2008/805305

zbMATH Keywords

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Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Solvable, nilpotent (super)algebras (17B30) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04)

Related Items (12)

On the logarithmic coarse structures of Lie groups and hyperbolic spaces ⋮ Weak quadratic overgroups for a class of Lie groups ⋮ Cone‐equivalent nilpotent groups with different Dehn functions ⋮ Tate–Shafarevich groups and algebras ⋮ Determination of 7-dimensional indecomposable nilpotent complex Lie algebras by adjoining a derivation to 6-dimensional Lie algebras ⋮ About Leibniz cohomology and deformations of Lie algebras ⋮ Gradings for nilpotent Lie algebras ⋮ Cohomological induction and uniform measure equivalence ⋮ Complex, symplectic, and contact structures on low-dimensional Lie groups ⋮ Computing invariants and semi-invariants by means of Frobenius Lie algebras ⋮ Crystallographic actions on contractible algebraic manifolds ⋮ Some remarks on graded nilpotent Lie algebras and the Toral Rank Conjecture

Cites Work

• Determination of 7-dimensional indecomposable nilpotent complex Lie algebras by adjoining a derivation to 6-dimensional Lie algebras
• Classification des algèbres de Lie nilpotentes complexes de dimension 7. (Classification of nilpotent complex Lie algebras of dimension 7)
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Sur Les Représentations Unitaires Des Groupes De Lie Nilpotents. III
• Classification of real and complex nilpotent lie algebras of dimension 7
• 7-Dimensional Nilpotent Lie Algebras
• Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34
• Cohomology of Heisenberg Lie Algebras
• Cohomologie adjointe des algebres de lie de heisenberg
• Homologie et cohomologie des algèbres de Lie
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