(Co)homology and universal central extension of Hom-Leibniz algebras

DOI10.1007/S10114-011-9626-5zbMath1250.17001OpenAlexW2139917104WikidataQ123181114 ScholiaQ123181114MaRDI QIDQ546324

Yongsheng Cheng, Yucai Su

Publication date: 24 June 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9626-5

zbMATH Keywords

central extensionHom-Leibniz algebra(co)homology

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Virasoro and related algebras (17B68) Cohomology of Lie (super)algebras (17B56) Leibniz algebras (17A32) Nonassociative algebras satisfying other identities (17A30)

Related Items (23)

Hom-Leibniz 2-algebras ⋮ The structure of split regular Hom-Leibniz–Poisson color algebras ⋮ Equivariant one-parameter formal deformations of Hom-Leibniz algebras ⋮ On equivariant Hom-Leibniz cohomology ⋮ Representations and categorical realization of Hom-quasi-Hopf algebras ⋮ Hom-Leibniz bialgebras and BiHom-Leibniz dendriform algebras ⋮ Hom-prealternative superalgebras ⋮ Cohomology and deformations of compatible Hom-Lie algebras ⋮ Cup-product in Hom-Leibniz cohomology and Hom-Zinbiel algebras ⋮ Para-Kähler hom-Lie algebras ⋮ On hom-Lie superalgebras ⋮ On \(n\)-Hom-Leibniz algebras and cohomology ⋮ On the universal \(\alpha\)-central extension of the semi-direct product of Hom-Leibniz algebras ⋮ A non-abelian Hom-Leibniz tensor product and applications ⋮ On split regular Hom-Lie superalgebras ⋮ On split regular BiHom-Lie superalgebras ⋮ Universal central extensions in semi-abelian categories ⋮ Universal α-central extensions of Hom-Leibniz n-algebras ⋮ Third cohomology group and \(\alpha \)-crossed extensions of Hom-Lie algebras ⋮ On split regular BiHom-Poisson color algebras ⋮ Universal central extension of direct limits of Hom-Lie algebras ⋮ Representations and formal deformations of Hom-Leibniz algebras ⋮ On some properties preserved by the non-abelian tensor product of Hom-Lie algebras

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