Publicação
The sl_3 web algebra
| dc.contributor.author | Mackaay, Marco | |
| dc.contributor.author | Pan, W. | |
| dc.contributor.author | Tubbenhauer, D. | |
| dc.date.accessioned | 2021-02-18T10:56:25Z | |
| dc.date.available | 2021-02-18T10:56:25Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | In this paper we use Kuperberg’s sl3-webs and Khovanov’s sl3-foams to define a new algebra KS, which we call the sl3-web algebra. It is the sl3 analogue of Khovanov’s arc algebra. We prove that KS is a graded symmetric Frobenius algebra. Furthermore, we categorify an instance of q-skew Howe duality, which allows us to prove that KS is Morita equivalent to a certain cyclotomic KLR-algebra of level 3. This allows us to determine the split Grothendieck group K0 (WS )Q(q) , to show that its center is isomorphic to the cohomology ring of a certain Spaltenstein variety, and to prove that KS is a graded cellular algebra. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1007/s00209-013-1262-6 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.1/15116 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.title | The sl_3 web algebra | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 479 | pt_PT |
| oaire.citation.issue | 1-2 | pt_PT |
| oaire.citation.startPage | 401 | pt_PT |
| oaire.citation.title | Mathematische Zeitschrift | pt_PT |
| oaire.citation.volume | 277 | pt_PT |
| person.familyName | MACKAAIJ | |
| person.givenName | MARCO | |
| person.identifier.ciencia-id | F810-F5CB-9F35 | |
| person.identifier.orcid | 0000-0001-9807-6991 | |
| 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 |
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