Gabriel 2-Quivers for Finitary 2-Categories
Representation Theory
2017-05-17 v2 Category Theory
Rings and Algebras
Abstract
We develop the theory of 2-quivers and quiver 2-categories to run in parallel with the classical theory of quiver algebras. A quiver 2-category is always finitary, and, conversely, every finitary 2-category will be bi-equivalent with a quiver 2-category for a unique underlying reduced 2-quiver. As an application, we produce an example of a fiat 2-category, one of whose Duflo involutions is not self-adjoint.
Cite
@article{arxiv.1310.1586,
title = {Gabriel 2-Quivers for Finitary 2-Categories},
author = {Qimh Richey Xantcha},
journal= {arXiv preprint arXiv:1310.1586},
year = {2017}
}