Article ID Journal Published Year Pages File Type
4597769 Journal of Pure and Applied Algebra 2008 16 Pages PDF
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.

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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