Diagrams and discrete extensions for finitary 2-representations

TL;DR

This paper introduces the concepts of diagrams and discrete extensions to analyze finitary 2-representations of 2-categories, providing new tools for understanding their structure.

Contribution

It presents novel notions of diagrams and discrete extensions specifically tailored for the study of finitary 2-representations in 2-categories.

Findings

New framework for analyzing 2-representations

Enhanced understanding of the structure of finitary 2-categories

Potential applications to classification problems

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.