Low-dimensional non-abelian Leibniz cohomology

DOI10.1515/form.2011.124zbMath1353.17004OpenAlexW2328199639WikidataQ123342232 ScholiaQ123342232MaRDI QIDQ2836442

José Manuel Casas Mirás, Manuel Ladra Gonzalez, Emzar Khmaladze

Publication date: 3 July 2013

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2011.124

zbMATH Keywords

crossed moduleLeibniz algebranon-abelian cohomologyderivation and anti-derivation

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Nonabelian homological algebra (category-theoretic aspects) (18G50) Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items

Extensions of Leibniz superalgebras ⋮ Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms ⋮ 2-term averaging \(L_{\infty}\)-algebras and non-abelian extensions of averaging Lie algebras ⋮ Automorphisms of extensions of Lie-Yamaguti algebras and inducibility problem ⋮ On non-abelian extensions of Leibniz algebras ⋮ Actor of a crossed module of Leibniz algebras ⋮ More on crossed modules in Lie, Leibniz, associative and diassociative algebras ⋮ On the capability of Leibniz algebras

Cites Work

• Cohomologie et homologie non abéliennes des groupes. (Nonabelian cohomology and homology of groups)
• Universal enveloping algebras of Leibniz algebras and (co)homology
• On Leibniz homology
• Non-abelian homology of groups
• Cohomology of crossed Lie algebras and additive Milnor's \(K\)- theory
• Nonabelian tensor products and nonabelian homology of groups
• Leibniz n-algebras
• A 3-Dimensional Non-Abelian Cohomology of Groups With Applications to Homotopy Classification of Continuous Maps
• Higher non-abelian cohomology of groups
• NON-ABELIAN HOMOLOGY OF LIE ALGEBRAS
• A non-abelian tensor product of Lie algebras

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