Coidempotent subcoalgebras and short exact sequences of finitary 2-representations

Chan, Aaron and Miemietz, Vanessa (2020) Coidempotent subcoalgebras and short exact sequences of finitary 2-representations. Nagoya Mathematical Journal. ISSN 0027-7630

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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.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
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Depositing User: LivePure Connector
Date Deposited: 12 Feb 2020 05:38
Last Modified: 26 Oct 2020 00:52
URI: https://ueaeprints.uea.ac.uk/id/eprint/74156
DOI: 10.1017/nmj.2020.1

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