A characterization of finite dimensional nilpotent Filippov algebras

DOI10.1016/j.geomphys.2015.12.007zbMath1372.17004OpenAlexW2207925541MaRDI QIDQ5962623

Farshid Saeedi, Hamid Darabi, Mehdi Eshrati

Publication date: 15 February 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.2015.12.007

zbMATH Keywords

multipliernilpotent\(n\)-Lie algebra

Mathematics Subject Classification ID

Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (12)

Capable \(n\)-Lie algebras and the classification of nilpotent \(n\)-Lie algebras with \(s(A) = 3\) ⋮ 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 the dimension of the Schur multiplier of n-Lie algebras ⋮ On classification of \((n+5)\)-dimensional nilpotent \(n\)-Lie algebras of class two ⋮ On classification of (n + 6)-dimensional nilpotent n-Lie algebras of class 2 with n ≥ 4 ⋮ New bounds on the dimension of the Schur multiplier of n-Lie algebras

Cites Work

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• On dimension of the Schur multiplier of nilpotent Lie algebras
• Six-dimensional nilpotent Lie algebras
• On the multiplier of nilpotent \(n\)-Lie algebras
• On simple Filippov superalgebras of type \(B(0, n)\). II
• On Filippov algebroids and multiplicative Nambu-Poisson structures
• On classification of \(n\)-Lie algebras
• ON NILPOTENT LEIBNIZ n-ALGEBRAS
• On Schur’s theorem and its converses forn-Lie algebras
• ON SIMPLE FILIPPOV SUPERALGEBRAS OF TYPE A(n, n)
• On characterizing nilpotent lie algebras by their multiplierst(L) = 3,4,5,6
• On characterizing nilpotent lie algebras by their multipliers
• Contractions of Filippov algebras
• Nilpotentn-Lie Algebras
• Nilpotent Lie and Leibniz Algebras
• On Characterizing Nilpotent Lie Algebras by Their Multipliers, III

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