T *-extension ofn-Lie algebras

DOI10.1080/03081087.2012.693922zbMath1285.17004OpenAlexW2074946838WikidataQ115299739 ScholiaQ115299739MaRDI QIDQ5300041

Zhixue Zhang, Wen-li Liu

Publication date: 24 June 2013

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2012.693922

zbMATH Keywords

invariant scalar product\(T^{\ast}\)-extensionmetric n-Lie algebra

Mathematics Subject Classification ID

Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (4)

Extensions and crossed modules of \(n\)-Lie-Rinehart algebras ⋮ \(T^\ast\)-extension and 1-parameter formal deformation of Novikov superalgebras ⋮ On the cohomology and extensions of \(n\)-ary multiplicative Hom-Nambu-Lie superalgebras ⋮ On the Cohomology and Extensions of First-Classn-Lie Superalgebras

Cites Work

• Plücker-type relations for orthogonal planes
• On foundation of the generalized Nambu mechanics
• Non-degenerate invariant bilinear forms on nonassociative triple systems
• T*-extension of a 3-Lie algebra
• Metricn-Lie Algebras
• Lorentzian Lie n-algebras
• Real simplen-Lie algebras admitting metric structures
• The Socle of a Metricn-Lie Algebra

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