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.
- Publication:
-
Mathematical Proceedings of the Cambridge Philosophical Society
- Pub Date:
- March 2019
- DOI:
- 10.1017/S0305004117000858
- arXiv:
- arXiv:1601.00080
- Bibcode:
- 2019MPCPS.166..325C
- Keywords:
-
- Mathematics - Representation Theory;
- Mathematics - Category Theory
- E-Print:
- 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