Higher Hopf formula for homology of Leibniz \(n\)-algebras

DOI10.1016/j.jpaa.2009.08.010zbMath1206.18014OpenAlexW1989822665WikidataQ123240934 ScholiaQ123240934MaRDI QIDQ847678

José Manuel Casas Mirás, Manuel Ladra Gonzalez, Emzar Khmaladze

Publication date: 19 February 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.08.010

zbMATH Keywords

crossed modulesQuillen homologycrossed m-cubesHopf type formula for homologyLeibniz n-algebrasm-cat Leibniz n-algebras

Mathematics Subject Classification ID

Related Items (4)

3-Lie∞-algebras and 3-Lie 2-algebras ⋮ Characterizing nilpotent Leibniz algebras by a new bound on their second homologies ⋮ Characterizing nilpotent Leibniz algebras by their multiplier ⋮ A non-abelian exterior product and homology of Leibniz algebras

Cites Work

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• Higher-dimensional crossed modules and the homotopy groups of \((n+1)\)- ads
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• Homology of \((n+1)\)-types and Hopf type formulas
• \(N\)-fold Čech derived functors and generalised Hopf type formulas
• Leibniz n-algebras
• Crossed modules for Leibniz n-algebras
• Hopf Formulae for the Higher Homology of a Group
• Simplicial methods and the interpretation of “triple” cohomology
• Generalized Hamiltonian Dynamics
• Homology with Trivial Coefficients of Leibnizn-Algebras
• Cartan Subalgebras of Leibniz n-Algebras
• On Solvability and Nilpotency of Leibnizn-Algebras
• Semi-abelian categories

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