Coidempotent subcoalgebras and short exact sequences of finitary 2-representations

Aaron Chan, Vanessa Miemietz

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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.
Original languageEnglish
Pages (from-to)316-341
Number of pages26
JournalNagoya Mathematical Journal
Volume243
Early online date19 Mar 2020
DOIs
Publication statusPublished - Sep 2021

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