Publication
Higher central extensions and cohomology
| dc.contributor.author | Rodelo, Diana | |
| dc.contributor.author | Van der Linden, Tim | |
| dc.date.accessioned | 2017-04-07T15:57:16Z | |
| dc.date.available | 2017-04-07T15:57:16Z | |
| dc.date.issued | 2016-01 | |
| dc.description.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 semiabelian 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. (C) 2015 Elsevier Inc. All rights reserved. | |
| dc.identifier.doi | 10.1016/j.aim.2015.09.023 | |
| dc.identifier.issn | 0001-8708 | |
| dc.identifier.other | AUT: DRO01261; | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/9663 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.relation | COHOMOLOGY AND HIGHER CENTRAL EXTENSIONS | |
| dc.relation.isbasedon | WOS:000375634100002 | |
| dc.title | Higher central extensions and cohomology | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | COHOMOLOGY AND HIGHER CENTRAL EXTENSIONS | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT//SFRH%2FBPD%2F38797%2F2007/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/COMPETE/PEst-C%2FMAT%2FUI0324%2F2013/PT | |
| oaire.citation.endPage | 108 | |
| oaire.citation.startPage | 31 | |
| oaire.citation.title | Advances in Mathematics | |
| oaire.citation.volume | 287 | |
| oaire.fundingStream | COMPETE | |
| person.familyName | Rodelo | |
| person.givenName | Diana | |
| person.identifier.ciencia-id | 6C16-FCF9-64A0 | |
| person.identifier.orcid | 0000-0002-4816-3234 | |
| person.identifier.rid | AFH-8267-2022 | |
| person.identifier.scopus-author-id | 8216708900 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 311bbe08-1f8a-4c84-87e7-23ddd55c89a3 | |
| relation.isAuthorOfPublication.latestForDiscovery | 311bbe08-1f8a-4c84-87e7-23ddd55c89a3 | |
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