Coidempotent subcoalgebras and short exact sequences of finitary 2-representations
A Chan, V Miemietz - Nagoya Mathematical Journal, 2021 - cambridge.org
A Chan, V Miemietz
Nagoya Mathematical Journal, 2021•cambridge.orgIn 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.
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.
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.