Generalized derivation extensions of 3-Lie algebras and corresponding Nambu-Poisson structures
type: Item
instance of: scholarly article
title: Generalized derivation extensions of 3-Lie algebras and corresponding Nambu-Poisson structures
zbMATH Open document ID: 1430.17010
author: Lina Song
author: Jun Jiang
published in: Journal of Geometry and Physics
publication date: 2018-04-11T00:00:00Z
Mathematics Subject Classification ID: 17A40
Mathematics Subject Classification ID: 17A32
Mathematics Subject Classification ID: 17A36
Mathematics Subject Classification ID: 17B63
Mathematics Subject Classification ID: 53D17
zbMATH DE Number: 6858408
zbMATH Keywords: 3-Lie algebra
zbMATH Keywords: Leibniz algebra
zbMATH Keywords: derivation extension
zbMATH Keywords: matched pair
zbMATH Keywords: Nambu-Poisson structure
MaRDI profile type: Publication
full work available at URL: j.geomphys.2017.10.011
OpenAlex ID: W2766841574
cites work: Q3710656
cites work: n-ary algebras: a review with applications
cites work: Generalized Hamiltonian Dynamics
cites work: On foundation of the generalized Nambu mechanics
cites work: Some remarks concerning Nambu mechanics
cites work: On classification of \(n\)-Lie algebras
cites work: Q4302405
cites work: Deformations of 3-algebras
cites work: On Deformations of n-Lie Algebras
cites work: Simple quotient algebras and subalgebras of Jacobian algebras
cites work: Algebraic structures on parallel M2 branes
cites work: Realizations of 3-Lie algebras
cites work: 3-Lie algebras realized by cubic matrices
cites work: Construction of \(n\)-Lie algebras and \(n\)-ary Hom-Nambu-Lie algebras
cites work: Constructing (n+ 1)-Lie algebras fromn-Lie algebras
cites work: A new approach to representations of 3-Lie algebras and abelian extensions
cites work: Q3791301
cites work: A noncommutative version of Lie algebras: Leibniz algebras
cites work: Universal enveloping algebras of Leibniz algebras and (co)homology
cites work: Unified products for Leibniz algebras. Applications
cites work: Leibniz and Lie algebra structures for Nambu algebra
cites work: Linear Poisson structures on \(\mathbb R^4\)
cites work: On Filippov algebroids and multiplicative Nambu-Poisson structures
DOI: 10.1016/J.GEOMPHYS.2017.10.011
description: scientific article; zbMATH DE number 6858408