(Co)Homology of crossed modules

DOI10.1016/S0022-4049(01)00094-9zbMath0996.18010WikidataQ126782172 ScholiaQ126782172MaRDI QIDQ5960402

Pilar Carrasco, Alfredo R-Grandjeán, Antonio Martínez Cegarra

Publication date: 7 April 2002

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

zbMATH Keywords

algebraic categorycrossed module(co)homology of crossed modulecentral extensionfree and projective crossed moduleuniversal coefficient theorem

Mathematics Subject Classification ID

Cohomology of groups (20J06) Projectives and injectives (category-theoretic aspects) (18G05) Cohomology theory for linear algebraic groups (20G10) Theories (e.g., algebraic theories), structure, and semantics (18C10) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15)

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Non-abelian tensor product of precrossed modules in Lie algebras, structure and applications, Braided equivariant crossed modules and cohomology of \(\gamma\)-modules, Some aspects of homotopic algebra and non-abelian (co)homology theories, Weakly globular \(\text{cat}^n\)-groups and Tamsamani's model, More on the Hochschild and Cyclic Homologies of Crossed Modules of Algebras, Unnamed Item, On universal central extensions of precrossed and crossed modules, The nilpotent multipliers of crossed modules, On classifying simplicial modules, Universal central extensions of precrossed modules and Milnor's relative \(K_{2}\), Computational homology of \(n\)-types, Some results on stem covers of crossed modules, Homotopical and combinatorial aspects of the theory of normal series in groups., On the second cohomology group in semi-abelian categories, Cyclic homologies of crossed modules of algebras, A characterisation of Lie algebras amongst anti-commutative algebras, Homology of \((n+1)\)-types and Hopf type formulas, COTRIPLE HOMOLOGY OF CROSSED 2-CUBES OF LIE ALGEBRAS, On the non-balanced property of the category of crossed modules in groups, Homological aspects of Lie algebra crossed modules, Universal central extensions in semi-abelian categories, Baer invariants and cohomology of precrossed modules, On the second homology of crossed modules, A comonadic interpretation of Baues-Ellis homology of crossed modules, Semistrict models of connected 3-types and Tamsamani's weak 3-groupoids, The precise center of a crossed module, A non-abelian tensor product of precrossed modules in lie algebras, CHARACTERIZING n-ISOCLINIC CLASSES OF CROSSED MODULES, CCG-homology of crossed modules via classifying spaces, Ganea Term for the Homology of Precrossed Modules, (Co)homology of \(\Gamma\)-groups and \(\Gamma\)-homological algebra, Derived functors and the homology of \(n\)-types

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