Higher central extensions and Hopf formulae

Abstract

Higher extensions and higher central extensions, which are of importance to non-abelian homological algebra, are studied, and some fundamental properties are proven. As an application, a direct proof of the invariance of the higher Hopf formulae is obtained.

References in corpus (1)

• Higher Hopf formulae for homology via Galois Theory

Cited by in corpus (18)

• Protoadditive functors, derived torsion theories and homology
• Universal central extensions in semi-abelian categories
• The ternary commutator obstruction for internal crossed modules
• Relative Commutator Theory in Semi-Abelian Categories
• Resolutions, higher extensions and the relative Mal'tsev axiom
• On satellites in semi-abelian categories: Homology without projectives
• Higher central extensions and cohomology
• On Lie-central extensions of Leibniz algebras
• A description of the fundamental group in terms of commutators and closure operators
• Higher Central Extensions in Mal'tsev Categories
• The Yoneda isomorphism commutes with homology
• Galois theory and commutators
• A relative theory of universal central extensions
• A symmetric approach to higher coverings in categorical Galois theory
• Higher coverings of racks and quandles -- Part I
• The Schur Lie-Multiplier of Leibinz Algebras
• Some aspects of semi-abelian homology and protoadditive functors
• Galois theory and the categorical Peiffer commutator