Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4597769 | Journal of Pure and Applied Algebra | 2008 | 16 Pages |
Abstract
We develop some new aspects of cohomology in the context of semi-abelian categories: we establish a Hochschild–Serre 5-term exact sequence extending the classical one for groups and Lie algebras; we prove that an object is perfect if and only if it admits a universal central extension; we show how the second Barr–Beck cohomology group classifies isomorphism classes of central extensions; we prove a universal coefficient theorem to explain the relationship with homology.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Marino Gran, Tim Van der Linden,