Diagrams and discrete extensions for finitary 2-representations

Abstract

In this paper we introduce and investigate the notions of diagrams and discrete extensions in the study of finitary $2$-representations of finitary $2$-categories.

To appear in Math. Proc. Camb. Phil. Soc. The statement of Conjecture 12 follows from Theorem 13 and Corollary 14 of the present paper and Corollary 20 in arXiv:1601.06975

References in corpus (3)

• The two-color Soergel calculus
• On the center of quiver-Hecke algebras
• Gabriel 2-Quivers for Finitary 2-Categories

Cited by in corpus (3)

• Finitary birepresentations of finitary bicategories
• Simple transitive $2$-representations of Soergel bimodules for finite Coxeter types
• Bimodules over uniformly oriented A_n quivers with radical square zero