Publication
Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n, r) for 3 <= r < n
| dc.contributor.author | Mackaay, Marco | |
| dc.contributor.author | Thiel, Anne-Laure | |
| dc.date.accessioned | 2019-11-20T15:08:04Z | |
| dc.date.available | 2019-11-20T15:08:04Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | We categorify the extended affine Hecke algebra and the affine quantum Schur algebra S(n, r) for 3 <= r < n, using results on diagrammatic categorification in affine type A by Elias-Williamson, that extend the work of Elias-Khovanov for finite type A, and Khovanov-Lauda respectively. We also define 2-representations of these categorifications on an extension of the 2-category of affine (singular) Soergel bimodules. These results are the affine analogue of the results in [28]. | |
| dc.description.sponsorship | FCT-Fundacao para a Ciencia e a Tecnologia [PTDC/MAT/101503/2008] | |
| dc.description.sponsorship | New Geometry and Topology | |
| dc.description.version | info:eu-repo/semantics/publishedVersion | |
| dc.identifier.doi | 10.4171/QT/88 | |
| dc.identifier.issn | 1663-487X | |
| dc.identifier.issn | 1664-073X | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/13344 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | European Mathematical Soc | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Representations | |
| dc.title | Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n, r) for 3 <= r < n | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT%2F101503%2F2008/PT | |
| oaire.citation.endPage | 203 | |
| oaire.citation.issue | 1 | |
| oaire.citation.startPage | 113 | |
| oaire.citation.title | Quantum Topology | |
| oaire.citation.volume | 8 | |
| oaire.fundingStream | 3599-PPCDT | |
| 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 | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 62310e63-1319-4bf3-87c8-1f6790d9f190 | |
| relation.isAuthorOfPublication.latestForDiscovery | 62310e63-1319-4bf3-87c8-1f6790d9f190 | |
| relation.isProjectOfPublication | b334b451-63e5-4ec6-8802-260bceeeff01 | |
| relation.isProjectOfPublication.latestForDiscovery | b334b451-63e5-4ec6-8802-260bceeeff01 |
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