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Simple transitive 2-representations of left cell 2-subcategories of projective functors for star algebras
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
2019 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 47, no 3, p. 1222-1237Article in journal (Refereed) Published
Abstract [en]

n this article, we study simple transitive 2-representations of certain 2-subcategories of the 2-category of projective functors over a star algebra. We show that in the simplest case, which is associated to the Dynkin type A2, simple transitive 2-representations are classified by cell 2-representations. In the general case we conjecture that there exist many simple transitive 2-representations which are not cell 2-representations and provide some evidence for our conjecture.

Place, publisher, year, edition, pages
2019. Vol. 47, no 3, p. 1222-1237
Keywords [en]
Cell 2-representations, projective functors, simple transitive 2-representations, 2-representation theory
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:uu:diva-382998DOI: 10.1080/00927872.2018.1501578ISI: 000464586900026OAI: oai:DiVA.org:uu-382998DiVA, id: diva2:1316799
Available from: 2019-05-21 Created: 2019-05-21 Last updated: 2019-05-21Bibliographically approved

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CiteExportLink to record
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  • de-DE
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