Capable \(n\)-Lie algebras and the classification of nilpotent \(n\)-Lie algebras with \(s(A) = 3\)

DOI10.1016/j.geomphys.2016.07.001zbMath1384.17003OpenAlexW2485021493MaRDI QIDQ335795

Hamid Darabi, Mehdi Eshrati, Farshid Saeedi

Publication date: 2 November 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.07.001

zbMATH Keywords

multiplier\(n\)-Lie algebracapable

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (9)

On classification of \((n+1)\)-dimensional \(n\)-Hom-Lie algebras with nilpotent twisting maps ⋮ On classification of (\(n +1\))-dimensional \(n\)-Hom-Lie algebras for \(n =4,5,6\) and nilpotent twisting map with 2-dimensional kernel ⋮ Degenerations of Filippov algebras ⋮ On the multiplier of filiform Filippov algebras ⋮ Characterization of capable nilpotent \(n\)-Lie algebras of class two by their Schur multipliers ⋮ Characterizing nilpotent \(n\)-Lie algebras by their multiplier ⋮ On classification of 9-dimensional nilpotent 3-ary algebras of class two ⋮ On classification of \((n+5)\)-dimensional nilpotent \(n\)-Lie algebras of class two ⋮ Augmented \(n\)-ary maps and their applications to graded \(n\)-ary algebraic structures

Cites Work

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• Six-dimensional nilpotent Lie algebras
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• On classification of \(n\)-Lie algebras
• Some criteria for detecting capable Lie algebras
• Derived subgroups and centers of capable groups
• On characterizing nilpotent lie algebras by their multiplierst(L) = 3,4,5,6
• On characterizing nilpotent lie algebras by their multipliers
• On dimension of Schur multiplier of nilpotent Lie algebras II
• On Characterizing Nilpotent Lie Algebras by Their Multipliers, III
• A characterization of finite dimensional nilpotent Filippov algebras

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