The Frattini subalgebra of \(n\)-Lie algebras

DOI10.1007/s10114-005-0923-8zbMath1152.17004OpenAlexW2159227157MaRDI QIDQ2641548

Liangyun Chen, Ruipu Bai, Dao Ji Meng

Publication date: 20 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0923-8

zbMATH Keywords

nilpotent\(n\)-Lie algebraFrattini subalgebra

Mathematics Subject Classification ID

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

Related Items (17)

On the Intersection of Maximal Subalgebras in a Lie Superalgebra ⋮ The Frattini \(p\)-subsystem of a solvable restricted Lie triple system ⋮ Some subsystems of a Lie triple system closely related to its Frattini subsystem ⋮ New examples of infinite-dimensional n-Lie algebras ⋮ 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 ⋮ On ideals and derived and central descending series of \(n\)-ary Hom-algebras ⋮ Engel subalgebras of \(n\)-Lie algebras ⋮ Centroid structures of \(n\)-Lie algebras ⋮ Structure of low dimensional \(n\)-Lie algebras over a field of characteristic 2 ⋮ A class of non-nilpotent 2-solvablen-Lie algebras ⋮ Generalized derivations and Rota-Baxter operators of \(n\)-ary Hom-Nambu superalgebras ⋮ On the dimension of the Schur multiplier of n-Lie algebras ⋮ The Frattini Subsystem of a Lie Triple System ⋮ 3-Lie algebras with an ideal \(N\) ⋮ Some necessary and sufficient conditions for nilpotent n-Lie superalgebras ⋮ Some radicals, Frattini and Cartan subalgebras of Leibnizn-algebras

Cites Work

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• The structures of bi-symmetric algebras and their sub-adjacent lie algebras
• Generalized Hamiltonian Dynamics
• Solvability of Finite-Dimensionaln-ary Commutative Leibniz Algebras of Characteristic 0
• The Frattini Subalgebra of a Lie Algebra
• On the Frattini Subalgebra of a Lie Algebra
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