Homological aspects of Lie algebra crossed modules

DOI10.1007/s00229-009-0325-9zbMath1239.17014OpenAlexW2053639183WikidataQ115388371 ScholiaQ115388371MaRDI QIDQ2268170

Manuel Ladra Gonzalez, Niko Inassaridze, José Manuel Casas Mirás

Publication date: 10 March 2010

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-009-0325-9

zbMATH Keywords

Lie algebracrossed modulesChevalley-Eilenberg homology

Mathematics Subject Classification ID

Related Items (10)

Non-abelian tensor product of precrossed modules in Lie algebras, structure and applications ⋮ The non-abelian tensor and exterior products of crossed modules of Lie superalgebras ⋮ On stem covers and the universal central extensions of Lie crossed modules ⋮ Some results on stem covers of crossed modules ⋮ Unnamed Item ⋮ Capability of Crossed Modules of Lie Algebras ⋮ Some properties of the Schur multiplier and stem covers of Leibniz crossed modules ⋮ COTRIPLE HOMOLOGY OF CROSSED 2-CUBES OF LIE ALGEBRAS ⋮ A non-abelian tensor product of precrossed modules in lie algebras ⋮ Unnamed Item

Cites Work

• Cyclic homologies of crossed modules of algebras
• Higher dimensional crossed modules of algebras
• Central extensions of Lie algebras
• CCG-homology of crossed modules via classifying spaces
• Derived functors and the homology of \(n\)-types
• Comparison between algebraic and topological \(K\)-theory of locally convex algebras
• On the deformation of rings and algebras. II
• Homotopical algebra
• Hochschild and Cyclic Homology are Far From Being Homotopy Functors
• On Lie Algebra Crossed Modules
• A non-abelian tensor product of Lie algebras
• (Co)Homology of crossed modules
• Semi-abelian categories
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