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 language | English |
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Pages (from-to) | 316-341 |
Number of pages | 26 |
Journal | Nagoya Mathematical Journal |
Volume | 243 |
Early online date | 19 Mar 2020 |
DOIs | |
Publication status | Published - Sep 2021 |
Profiles
-
Vanessa Miemietz
- School of Engineering, Mathematics and Physics - Professor in Pure Mathematics
- Algebra and Combinatorics - Member
Person: Research Group Member, Academic, Teaching & Research