Publication
sl(N)-web categories and categorified skew Howe duality
| dc.contributor.author | Mackaay, Marco | |
| dc.contributor.author | Yonezawa, Yasuyoshi | |
| dc.date.accessioned | 2020-07-24T10:52:28Z | |
| dc.date.available | 2020-07-24T10:52:28Z | |
| dc.date.issued | 2019-05 | |
| dc.description.abstract | In this paper we show how the colored Khovanov-Rozansky Sl(N)-matrix factorizations, due to Wu [45] and Y.Y. [46,47], can be used to categorify the type A quantum skew Howe duality defined by Cautis, Kamnitzer and Morrison in [14]. In particular, we define Sl(N)-web categories and 2-representations of Khovanov and Lauda's categorical quantum sl(m) on them. We also show that this implies that each such web category is equivalent to the category of finite-dimensional graded projective modules over a certain type A cyclotomic KLR-algebra. (C) 2018 Elsevier B.V. All rights reserved. | |
| dc.description.sponsorship | FCT - Fundacao para a Ciencia e a TecnologiaPortuguese Foundation for Science and Technology [PTDC/MAT/101503/2008] | |
| dc.description.sponsorship | New Geometry and Topology | |
| dc.description.version | info:eu-repo/semantics/publishedVersion | |
| dc.identifier.doi | 10.1016/j.jpaa.2018.07.013 | |
| dc.identifier.issn | 0022-4049 | |
| dc.identifier.issn | 1873-1376 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/14364 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Elsevier Science Bv | |
| dc.subject | Highest weight categories | |
| dc.subject | Knot homology | |
| dc.subject | Coherent sheaves | |
| dc.title | sl(N)-web categories and categorified skew Howe duality | |
| 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 | 2229 | |
| oaire.citation.issue | 5 | |
| oaire.citation.startPage | 2173 | |
| oaire.citation.title | Journal of Pure and Applied Algebra | |
| oaire.citation.volume | 223 | |
| 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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