Generalized derivation extensions of 3-Lie algebras and corresponding Nambu-Poisson structures

DOI10.1016/j.geomphys.2017.10.011zbMath1430.17010OpenAlexW2766841574MaRDI QIDQ1742267

Lina Song, Jun Jiang

Publication date: 11 April 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2017.10.011

zbMATH Keywords

Leibniz algebramatched pair3-Lie algebraderivation extensionNambu-Poisson structure

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63) Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Ternary compositions (17A40)

Related Items (3)

The infinite dimensional unital Nambu–Poisson algebra of order 3 ⋮ Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras ⋮ Cohomologies and generalized derivations of \(n\)-Lie algebras

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