Year: 2014
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Mazorchuk, Volodymyr, Miemietz, Vanessa
Institutions: Uppsala University, University of East Anglia
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G5815034058
OpenAlex ID: W2949670595