Naturally graded quasi-filiform Lie algebras

DOI10.1016/S0021-8693(02)00130-8zbMath1030.17007OpenAlexW2047376843WikidataQ115340532 ScholiaQ115340532MaRDI QIDQ1858216

J. R. Gómez, A. Jiménez-Merchán

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00130-8

zbMATH Keywords

nilpotent algebras of maximal nilindexsymbolic calculus packages

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Solvable, nilpotent (super)algebras (17B30) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (19)

Solvable extensions of the naturally graded quasi-filiform Leibniz algebras ⋮ Completeness of quasi-filiform Lie algebras ⋮ Naturally graded Leibniz algebras with characteristic sequence \((n-m,m)\) ⋮ Leibniz algebras of nilindex \(n-3\) with characteristic sequence \((n-3,2,1)\) ⋮ Naturally Graded Quasi-Filiform Associative Algebras ⋮ Quasi-filiform Leibniz algebras of maximum length ⋮ Quasi-filiform Lie algebras of great length ⋮ On quasi-filiform Lie algebras admitting a torus of derivations ⋮ On naturally graded Lie and Leibniz superalgebras ⋮ Solvable Indecomposable Extensions of Two Nilpotent Lie Algebras ⋮ Naturally graded \((n-3)\)-filiform Leibniz algebras ⋮ Classification of Lie algebras with naturally graded quasi-filiform nilradicals ⋮ Naturally Graded 2-Filiform Leibniz Algebras ⋮ Derivation subalgebras of Lie algebras ⋮ Naturally graded quasi-filiform Leibniz algebras ⋮ 3-Filiform Leibniz algebras of maximum length, whose naturally graded algebras are Lie algebras ⋮ Some classes of nilpotent associative algebras ⋮ Naturally graded Lie algebras of slow growth ⋮ Quasi-filiform Lie algebras of maximum length revisited

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• On nilpotent Lie algebras having a torus of derivations
• On the irreducible components of the variety of laws of nilpotent Lie algebras
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes

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