Universal α-central extensions of Hom-Leibniz n-algebras

DOI10.1080/03081087.2017.1399980zbMath1448.17003arXiv1607.00767OpenAlexW2769265283WikidataQ122874694 ScholiaQ122874694MaRDI QIDQ4689931

N. Pacheco Rego, José Manuel Casas Mirás

Publication date: 22 October 2018

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00767

zbMATH Keywords

non-abelian tensor productuniversal \((\alpha)\)-central extensionHom-Leibniz \(n\)-algebraperfect Hom-Leibniz \(n\)-algebraunicentral Hom-Leibniz \(n\)-algebra

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Nonassociative algebras satisfying other identities (17A30) (non-Lie) Hom algebras and topics (17D30)

Related Items (1)

On \(n\)-Hom-Leibniz algebras and cohomology

Cites Work

• Unnamed Item
• Unnamed Item
• On \((n+1)\)-Hom-Lie algebras induced by \(n\)-Hom-Lie algebras
• (Co)homology and universal central extension of Hom-Leibniz algebras
• The structure and representation of \(n\)-ary algebras of DNA recombination
• Representations and cohomology of \(n\)-ary multiplicative Hom-Nambu-Lie algebras
• The M2-M5 brane system and a generalized Nahm's equation
• Homology with coefficients of Leibniz \(n\)-algebras
• A non-abelian tensor product and universal central extension of Leibniz \(n\)-algebra
• M-brane models from non-abelian gerbes
• On 3-Lie algebras with abelian ideals and subalgebras
• Universal central extensions in semi-abelian categories
• Deformations of Lie algebras using \(\sigma\)-derivations
• On \(n\)-ary Hom-Nambu and Hom-Nambu-Lie algebras
• Hom-algebra structures
• Enveloping algebras of Hom-Lie algebras
• Leibniz n-algebras
• Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras
• On universal central extensions of Hom-Leibniz algebras
• Generalization of n-ary Nambu algebras and beyond
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
• Hom-algebras and homology
• A non-abelian Hom-Leibniz tensor product and applications
• Generalized Hamiltonian Dynamics
• Homology with Trivial Coefficients of Leibnizn-Algebras
• Hom-Lie-Yamaguti structures on Hom-Leibniz algebras
• Some characterizations of Hom-Leibniz algebras
• On Universal Central Extensions of Leibniz Algebras
• Hom-Bol algebras
• Moonshine beyond the Monster

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