Module extensions of 3-Lie algebras

DOI10.1080/03081087.2011.603728zbMath1264.17002OpenAlexW1991879088WikidataQ115299783 ScholiaQ115299783MaRDI QIDQ2895689

Ying Li, Ruipu Bai, Zhenheng Li, WanQing Wu

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.603728

zbMATH Keywords

module3-Lie algebra\(T_\theta \)-extension\(T_\theta^*\)-extension

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Ternary compositions (17A40)

Related Items (4)

On 3-Lie algebras with a derivation ⋮ Extending structures for 3-Lie algebras ⋮ Representations and module-extensions of 3-hom-Lie algebras ⋮ The construction of 3-Bihom-Lie algebras

Cites Work

• \(T^*\)-extension of Lie triple systems
• Algebraic structures on parallel M2 branes
• 3-Lie algebras with an ideal \(N\)
• Symplectic structures on quadratic Lie algebras
• On skew-symmetric maps on Lie algebras
• Realizations of 3-Lie algebras

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