COTRIPLE HOMOLOGY OF CROSSED 2-CUBES OF LIE ALGEBRAS

DOI10.1142/S0219498813500072zbMath1273.17025OpenAlexW2054565430WikidataQ115245678 ScholiaQ115245678MaRDI QIDQ4928313

Guram Donadze, Manuel Ladra Gonzalez

Publication date: 11 June 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498813500072

zbMATH Keywords

cyclic homologyChevalley-Eilenberg homologycotriple homologycrossed 2-cubes of Lie algebras

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Nonabelian homological algebra (category-theoretic aspects) (18G50) Cohomology of Lie (super)algebras (17B56)

Cites Work

• Cyclic homologies of crossed modules of algebras
• Cyclic homology and the Lie algebra homology of matrices
• Higher dimensional crossed modules of algebras
• Central extensions of Lie algebras
• Derived functors and the homology of \(n\)-types
• Homological aspects of Lie algebra crossed modules
• Comparison between algebraic and topological \(K\)-theory of locally convex algebras
• Homology of \((n+1)\)-types and Hopf type formulas
• \(N\)-fold Čech derived functors and generalised Hopf type formulas
• Homotopical algebra
• Hopf Formulae for the Higher Homology of a Group
• A non-abelian tensor product of Lie algebras
• (Co)Homology of crossed modules