Publication
Simple transitive 2-representations via (Co-)Algebra 1-Morphisms
| dc.contributor.author | Mackaay, Marco | |
| dc.contributor.author | Mazorchuk, Volodymyr | |
| dc.contributor.author | Miemietz, Vanessa | |
| dc.contributor.author | Tubbenhauer, Daniel | |
| dc.date.accessioned | 2020-07-24T10:53:22Z | |
| dc.date.available | 2020-07-24T10:53:22Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | For any fiat 2-category C, we show how its simple transitive 2-representations can be constructed using co-algebra 1-morphisms in the injective abelianization of C. Dually, we show that these can also be constructed using algebra 1-morphisms in the projective abelianization of C. We also extend Morita-Takeuchi theory to our setup and work out several examples, including that of Soergel bimodules for dihedral groups, explicitly. | |
| dc.description.sponsorship | Swedish Research CouncilSwedish Research Council | |
| dc.description.sponsorship | Knut and Alice Wallenberg StiftelseKnut & Alice Wallenberg Foundation | |
| dc.description.sponsorship | Goran Gustafsson Stiftelse | |
| dc.description.sponsorship | Uppsala University | |
| dc.description.sponsorship | Hausdorff Center for Mathematics (HCM) in Bonn | |
| dc.identifier.doi | 10.1512/iumj.2019.68.7554 | |
| dc.identifier.issn | 0022-2518 | |
| dc.identifier.issn | 1943-5258 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/14484 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Indiana Univ Math Journal | |
| dc.subject | Hopf-Algebras | |
| dc.subject | Categories | |
| dc.subject | Bimodules | |
| dc.title | Simple transitive 2-representations via (Co-)Algebra 1-Morphisms | |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 33 | |
| oaire.citation.issue | 1 | |
| oaire.citation.startPage | 1 | |
| oaire.citation.title | Indiana University Mathematics Journal | |
| oaire.citation.volume | 68 | |
| person.familyName | MACKAAIJ | |
| person.givenName | MARCO | |
| person.identifier.ciencia-id | F810-F5CB-9F35 | |
| person.identifier.orcid | 0000-0001-9807-6991 | |
| rcaap.rights | openAccess | |
| rcaap.type | article | |
| relation.isAuthorOfPublication | 62310e63-1319-4bf3-87c8-1f6790d9f190 | |
| relation.isAuthorOfPublication.latestForDiscovery | 62310e63-1319-4bf3-87c8-1f6790d9f190 |
Files
Original bundle
1 - 1 of 1