Publicação
Evaluation 2-functors for Kac–Moody 2-categories of type A2
| datacite.subject.sdg | 04:Educação de Qualidade | |
| datacite.subject.sdg | 09:Indústria, Inovação e Infraestruturas | |
| datacite.subject.sdg | 17:Parcerias para a Implementação dos Objetivos | |
| dc.contributor.author | Mackaay, Marco | |
| dc.contributor.author | Macpherson, James | |
| dc.contributor.author | Vaz, Pedro | |
| dc.date.accessioned | 2026-06-30T09:30:46Z | |
| dc.date.available | 2026-06-30T09:30:46Z | |
| dc.date.issued | 2026-03-10 | |
| dc.description.abstract | We construct a 2-functor from the Kac–Moody 2-category for the extended quantum affine sl3 to the homotopy 2-category of bounded chain complexes with values in the Kac–Moody 2-category for quantum gl3 , categorifying the evaluation map between the corresponding quantum Kac–Moody algebras. Our approach establishes and exploits a categorical analogue of the wellknown relation between the evaluation map and Lusztig’s internal braid group action for quantum gl3 . | eng |
| dc.description.sponsorship | UIDB/04459/2020; 10- 54499/UIDP/04459/2020; UID/04106/2025; UID/PRR/04106/2025 | |
| dc.identifier.doi | 10.2140/pjm.2026.341.103 | |
| dc.identifier.eissn | 0030-8730 | |
| dc.identifier.issn | 1945-5844 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/29171 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | Mathematical Sciences Publishers | |
| dc.relation | Center for Research and Development in Mathematics and Applications | |
| dc.relation.ispartof | Pacific Journal of Mathematics | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Quantum algebra | |
| dc.subject | Categorification | |
| dc.subject | 2-categories | |
| dc.subject | Affine quantum algebra | |
| dc.title | Evaluation 2-functors for Kac–Moody 2-categories of type A2 | eng |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardNumber | UID/MAT/04106/2019 | |
| oaire.awardTitle | Center for Research and Development in Mathematics and Applications | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F04106%2F2019/PT | |
| oaire.citation.endPage | 145 | |
| oaire.citation.issue | 1 | |
| oaire.citation.startPage | 103 | |
| oaire.citation.title | Pacific Journal of Mathematics | |
| oaire.citation.volume | 341 | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
| person.familyName | Mackaay | |
| person.givenName | Marco | |
| 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 | |
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