Please use this identifier to cite or link to this item:
https://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: | https://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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hceac (formato article).pdf | 854.82 kB | Adobe PDF | View/Open |
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