Transitive 2-Representations Of Finitary 2-Categories
2016 (English)In: Transactions of the American Mathematical Society, ISSN 0002-9947, E-ISSN 1088-6850, Vol. 368, no 11, 7623-7644 p.Article in journal (Refereed) Published
In this article, we define and study the class of simple transitive 2-representations of finitary 2-categories. We prove a weak version of the classical Jordan-Holder Theorem where the weak composition subquotients are given by simple transitive 2-representations. For a large class of finitary 2-categories we prove that simple transitive 2-representations are exhausted by cell 2-representations. Finally, we show that this large class contains finitary quotients of 2-Kac-Moody algebras.
Place, publisher, year, edition, pages
2016. Vol. 368, no 11, 7623-7644 p.
Algebra and Logic
IdentifiersURN: urn:nbn:se:uu:diva-306239DOI: 10.1090/tran/6583ISI: 000384315600004OAI: oai:DiVA.org:uu-306239DiVA: diva2:1040331
FunderSwedish Research Council