Coidempotent subcoalgebras and short exact sequences of finitary 2-representations
Representation Theory
2019-01-16 v1
Abstract
In this article, we study short exact sequences of finitary 2-representations of a weakly fiat 2-category. We provide a correspondence between such short exact sequences with fixed middle term and coidempotent subcoalgebras of a coalgebra 1-morphism defining this middle term. We additionally relate these to recollements of the underlying abelian 2-representations.
Keywords
Cite
@article{arxiv.1901.04685,
title = {Coidempotent subcoalgebras and short exact sequences of finitary 2-representations},
author = {Aaron Chan and Vanessa Miemietz},
journal= {arXiv preprint arXiv:1901.04685},
year = {2019}
}