Higher central extensions and Hopf formulae

2009/01/22 by Tomas Everaert · 2 citations
Mathematics · #Abelian group #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Hopf algebra #Mathematics #Pure mathematics #math.CT #math.KT #msc:18E10 #msc:18G #msc:20J #msc:55N35

paper · pdf · doi:10.1016/j.jalgebra.2008.12.015

published as Journal of Algebra Volume 324, Issue 8, 15 October 2010, Pages 1771-1789

openalex publication_date 2009/01/22 · arxiv created 2009/02/07 · arxiv updated 2015/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• Higher Hopf formulae for homology via Galois Theory

Cited by

• Protoadditive functors, derived torsion theories and homology
• Higher Central Extensions in Mal’tsev Categories
• On satellites in semi-abelian categories: Homology without projectives