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- W2199055003 abstract "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-Hölder 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." @default.
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- W2199055003 date "2015-12-22" @default.
- W2199055003 modified "2023-09-25" @default.
- W2199055003 title "Transitive $2$-representations of finitary $2$-categories" @default.
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- W2199055003 doi "https://doi.org/10.1090/tran/6583" @default.
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