Publication
Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations
| dc.contributor.author | Mackaay, Marco | |
| dc.contributor.author | Mazorchuk, Volodymyr | |
| dc.contributor.author | Miemietz, Vanessa | |
| dc.contributor.author | Zhang, Xiaoting | |
| dc.date.accessioned | 2020-11-16T11:32:32Z | |
| dc.date.available | 2020-11-16T11:32:32Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | The main result of this paper establishes a bijection between the set of equivalence classes of simple transitive 2-representations with a fixed apex J of a fiat 2-category C and the set of equivalence classes of faithful simple transitive 2-representations of the fiat 2-subquotient of C associated with a diagonal H-cell in J. As an application, we classify simple transitive 2-representations of various categories of Soergel bimodules, in particular, completing the classification in types B-3 and B-4. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1017/S1474748018000555 | pt_PT |
| dc.identifier.issn | 1474-7480 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/14826 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Cambridge University Press | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | pt_PT |
| dc.subject | 2-category | pt_PT |
| dc.subject | Cotensor product | pt_PT |
| dc.subject | Simple transitive 2-representation | pt_PT |
| dc.subject | Coalgebra 1-morphism | pt_PT |
| dc.subject | Green relations | pt_PT |
| dc.title | Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F04459%2F2013/PT | |
| oaire.citation.endPage | 1829 | pt_PT |
| oaire.citation.issue | 6 | pt_PT |
| oaire.citation.startPage | 1793 | pt_PT |
| oaire.citation.title | Journal of the Institute of Mathematics of Jussieu | pt_PT |
| oaire.citation.volume | 19 | pt_PT |
| oaire.fundingStream | 5876 | |
| person.familyName | MACKAAIJ | |
| person.givenName | MARCO | |
| person.identifier.ciencia-id | F810-F5CB-9F35 | |
| person.identifier.orcid | 0000-0001-9807-6991 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | 62310e63-1319-4bf3-87c8-1f6790d9f190 | |
| relation.isAuthorOfPublication.latestForDiscovery | 62310e63-1319-4bf3-87c8-1f6790d9f190 | |
| relation.isProjectOfPublication | 6760ef13-9949-4bc7-9636-5e2aec9cb619 | |
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