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Simple transitive 2-representations for some 2-subcategories of Soergel bimodules

dc.contributor.authorMackaay, Marco
dc.contributor.authorMazorchuk, Volodymyr
dc.date.accessioned2019-11-20T15:07:48Z
dc.date.available2019-11-20T15:07:48Z
dc.date.issued2017-03
dc.description.abstractWe classify simple transitive 2-representations of certain 2-subcategories of the 2-category of Soergel bimodules over the coinvariant algebra in Coxeter types B-2 and I-2(5). In the I-2(5) case it turns out that simple transitive 2-representations are exhausted by cell 2-representations. In the B-2 case we show that, apart from cell 2-representations, there is a unique, up to equivalence, additional simple transitive 2-representation and we give an explicit construction of this 2-representation. (C) 2016 Elsevier B.V. All rights reserved.
dc.description.sponsorshipSwedish Research Council
dc.identifier.doi10.1016/j.jpaa.2016.07.006
dc.identifier.issn0022-4049
dc.identifier.urihttp://hdl.handle.net/10400.1/13218
dc.language.isoeng
dc.peerreviewedyes
dc.publisherElsevier Science Bv
dc.subjectFinitary 2-Categories
dc.subjectFiat 2-Categories
dc.subjectEquivalences
dc.titleSimple transitive 2-representations for some 2-subcategories of Soergel bimodules
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage587
oaire.citation.issue3
oaire.citation.startPage565
oaire.citation.titleJournal of Pure and Applied Algebra
oaire.citation.volume221
person.familyNameMACKAAIJ
person.givenNameMARCO
person.identifier.ciencia-idF810-F5CB-9F35
person.identifier.orcid0000-0001-9807-6991
rcaap.rightsopenAccess
rcaap.typearticle
relation.isAuthorOfPublication62310e63-1319-4bf3-87c8-1f6790d9f190
relation.isAuthorOfPublication.latestForDiscovery62310e63-1319-4bf3-87c8-1f6790d9f190

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