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Transitive 2-Representations Of Finitary 2-Categories
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
Univ East Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England..
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
Abstract [en]

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.
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:uu:diva-306239DOI: 10.1090/tran/6583ISI: 000384315600004OAI: oai:DiVA.org:uu-306239DiVA: diva2:1040331
Funder
Swedish Research Council
Available from: 2016-10-27 Created: 2016-10-26 Last updated: 2016-10-27Bibliographically approved

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Mazorchuk, Volodymyr
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