On universal central extensions of Hom-Lie algebras

zbMath1344.17003arXiv1209.5887MaRDI QIDQ2944353

Unnamed Author, Manuel Avelino Insua Hermo, José Manuel Casas Mirás

Publication date: 1 September 2015

Full work available at URL: https://arxiv.org/abs/1209.5887

zbMATH Keywords

homologyHom-Lie algebra(universal) \(\alpha\)-central extension(universal) central extensionHom-module

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Nonassociative algebras satisfying other identities (17A30)

Related Items (18)

Non-abelian extensions of pre-Lie algebras ⋮ Diagonal abelian extensions and morphism-fixed formal deformations of Hom-pre-Lie algebras ⋮ On isoclinism of Hom-Lie algebras ⋮ A non-abelian tensor product of Hom-Lie algebras ⋮ Current Hom-Lie algebras ⋮ Associative 2-algebras and nonabelian extensions of associative algebras ⋮ Universal central extensions of compatible Leibniz algebras ⋮ Extraction algorithm of Hom-Lie algebras based on solvable and nilpotent groups ⋮ On Hom-Lie antialgebra ⋮ Derivation Hom-Lie 2-algebras and non-abelian extensions of regular Hom-Lie algebras ⋮ Universal central extensions and non-abelian tensor product of hom-Lie–Rinehart algebras ⋮ Purely Hom-Lie bialgebras ⋮ Enveloping algebras of color hom-Lie algebras ⋮ Third cohomology group and \(\alpha \)-crossed extensions of Hom-Lie algebras ⋮ Universal central extension of direct limits of Hom-Lie algebras ⋮ Abelian extensions and crossed modules of Hom-Lie algebras ⋮ On some properties preserved by the non-abelian tensor product of Hom-Lie algebras ⋮ On the capability of Hom-Lie algebras

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