Some results on metric \(n\)-Lie algebras

DOI10.1007/s10114-011-0231-4zbMath1315.17004arXiv1004.3825OpenAlexW2101418017MaRDI QIDQ1757988

Ruipu Bai, Zhenheng Li, WanQing Wu

Publication date: 7 November 2012

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

Full work available at URL: https://arxiv.org/abs/1004.3825

zbMATH Keywords

metric dimensionmetric \(n\)-Lie algebraminimal idealLevi decomposition

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 (3)

Constructions of metric \((n+1)\)-Lie algebras ⋮ Generalized metricn-Leibniz algebras and generalized orthogonal representationof metric Lie algebras ⋮ n-Lie bialgebras

Cites Work

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• Plücker-type relations for orthogonal planes
• Oriented tree diagram Lie algebras and their abelian ideals
• Centroid structures of \(n\)-Lie algebras
• Algebraic structures on parallel M2 branes
• On foundation of the generalized Nambu mechanics
• Lorentzian Lie n-algebras
• Real simplen-Lie algebras admitting metric structures
• The Strong Semi-simplen-Lie Algebras
• Generalized Hamiltonian Dynamics

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