Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras

DOI10.1063/1.3653197zbMath1273.17005arXiv1103.0093OpenAlexW3102183986MaRDI QIDQ2853589

Sergei D. Silvestrov, Abdenacer Makhlouf, Joakim Arnlind

Publication date: 16 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.0093

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Poisson algebras (17B63) Dynamical aspects of twist maps (37E40) (n)-ary systems ((nge 3)) (20N15) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (39)

Representations and deformations of 3-Hom-ρ-Lie algebras ⋮ Super 3-Lie algebras induced by super Lie algebras ⋮ The infinite dimensional unital Nambu–Poisson algebra of order 3 ⋮ Cohomology and deformations of \(n\)-Lie algebra morphisms ⋮ Yau-type ternary Hom-Lie bialgebras ⋮ 3-ary Hom-Lie superalgebras induced by Hom-Lie superalgebras ⋮ Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras ⋮ Classification, centroids and derivations of two-dimensional Hom-Leibniz algebras ⋮ Color hom-Lie algebras, color hom-Leibniz algebras and color omni-hom-Lie algebras ⋮ Decomposition of complete color hom-Lie algebras ⋮ Hom-prealternative superalgebras ⋮ On classification of \((n+1)\)-dimensional \(n\)-Hom-Lie algebras with nilpotent twisting maps ⋮ On classification of (\(n +1\))-dimensional \(n\)-Hom-Lie algebras for \(n =4,5,6\) and nilpotent twisting map with 2-dimensional kernel ⋮ Induced ternary Hom-Nambu-Lie algebras ⋮ On \((\lambda,\mu,\gamma)\)-derivations of BiHom-Lie algebras ⋮ HNN-extension of involutive multiplicative Hom-Lie algebras ⋮ Cohomology and formal deformations of \(n\)-Hom-Lie color algebras ⋮ Induced 3-Hom-Lie superalgebras ⋮ A new approach to representations of 3-Lie algebras and abelian extensions ⋮ Simply complete Hom-Lie superalgebras and decomposition of complete Hom-Lie superalgebras ⋮ Central Extensions and Hom-Quadratic Hom-Novikov Color Algebras ⋮ On Lie-type constructions over twisted derivations ⋮ On ideals and derived and central descending series of \(n\)-ary Hom-algebras ⋮ Lie \(n\)-algebras and cohomologies of relative Rota-Baxter operators on \(n\)-Lie algebras ⋮ On \(n\)-Hom-Leibniz algebras and cohomology ⋮ Generalized derivation extensions of 3-Lie algebras and corresponding Nambu-Poisson structures ⋮ Extensions of hom-Lie color algebras ⋮ Hom-left-symmetric color dialgebras, Hom-tridendriform color algebras and Yau's twisting generalizations ⋮ Structure and cohomology of 3-Lie-Rinehart superalgebras ⋮ Unnamed Item ⋮ On Deformations of n-Lie Algebras ⋮ Enveloping algebras of color hom-Lie algebras ⋮ Some constructions of multiplicative \(n\)-ary Hom-Nambu algebras ⋮ Generalized derivations and Rota-Baxter operators of \(n\)-ary Hom-Nambu superalgebras ⋮ Universal α-central extensions of Hom-Leibniz n-algebras ⋮ Regular Hom-algebras admitting a multiplicative basis ⋮ 3-Lie superalgebras induced by Lie superalgebras ⋮ Cohomology, derivations and abelian extensions of 3-Lie algebras ⋮ Induced 3-Lie algebras, superalgebras and induced representations

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