Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras

DOI10.1007/978-3-642-55361-5_9zbMath1358.17004arXiv1312.7599OpenAlexW1487554995MaRDI QIDQ5258839

Abdenacer Makhlouf, Joakim Arnlind, Abdennour Kitouni, Sergei D. Silvestrov

Publication date: 24 June 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7599

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (34)

Representations and deformations of 3-Hom-ρ-Lie algebras ⋮ Super 3-Lie algebras induced by super Lie algebras ⋮ Ternary Hom-Jordan algebras induced by Hom-Jordan algebras ⋮ Quantum super Nambu bracket of cubic supermatrices and 3-Lie superalgebra ⋮ Cohomology and deformations of \(n\)-Lie algebra morphisms ⋮ Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras ⋮ 3-ary Hom-Lie superalgebras induced by Hom-Lie superalgebras ⋮ On ternary (Hom-)Nambu-Poisson 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 ⋮ 3-Hom-Lie algebras based on \(\sigma\)-derivation and involution ⋮ Cohomologies and deformations of O-operators on Lie triple systems ⋮ Induced 3-Hom-Lie superalgebras ⋮ Matrix 3-Lie superalgebras and BRST supersymmetry ⋮ Simply complete Hom-Lie superalgebras and decomposition of complete Hom-Lie superalgebras ⋮ On Lie-type constructions over twisted derivations ⋮ On ideals and derived and central descending series of \(n\)-ary Hom-algebras ⋮ Classification of Low Dimensional 3-Lie Superalgebras ⋮ Extensions of hom-Lie color algebras ⋮ Structure and cohomology of 3-Lie-Rinehart superalgebras ⋮ Unnamed Item ⋮ 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 ⋮ 3-Lie superalgebras induced by Lie superalgebras ⋮ Do $n$-Lie algebras have universal enveloping algebras

Uses Software

• Mathematica

This page was built for publication: Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras