Constructions of metric \((n+1)\)-Lie algebras

DOI10.1007/s11401-016-0977-1zbMath1348.17004OpenAlexW2515922973MaRDI QIDQ335045

Shuangshuang Chen, Ruipu Bai

Publication date: 2 November 2016

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-016-0977-1

zbMATH Keywords

extension\(n\)-Lie algebraisotropic centermetric \(n\)-Lie algebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30)

Cites Work

• Algebraic structures on parallel M2 branes
• 3-Lie algebras with an ideal \(N\)
• On foundation of the generalized Nambu mechanics
• Some results on metric \(n\)-Lie algebras
• On classification of \(n\)-Lie algebras
• The generating index of ann-Lie algebra
• Metricn-Lie Algebras
• Constructing (n+ 1)-Lie algebras fromn-Lie algebras
• n-ary algebras: a review with applications
• Real simplen-Lie algebras admitting metric structures
• On skew-symmetric maps on Lie algebras
• Generalized Hamiltonian Dynamics
• Realizations of 3-Lie algebras
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