Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/43872
Title: Higher central extensions and cohomology
Authors: Rodelo, Diana 
Van der Linden, Tim 
Issue Date: 18-Feb-2015
Publisher: Elsevier
Project: info:eu-repo/grantAgreement/FCT/COMPETE/132981/PT 
Serial title, monograph or event: Advances in Mathematics
Volume: 287
Abstract: We establish a Galois-theoretic interpretation of cohomology in semi-abelian categories: cohomology with trivial coefficients classifies central extensions, also in arbitrarily high degrees. This allows us to obtain a duality, in a certain sense, between "internal" homology and "external" cohomology in semi-abelian categories. These results depend on a geometric viewpoint of the concept of a higher central extension, as well as the algebraic one in terms of commutators.
URI: http://hdl.handle.net/10316/43872
DOI: 10.1016/j.aim.2015.09.023
10.1016/j.aim.2015.09.023
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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