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.

中文翻译：

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有限 2 表示的共幂次代数和短精确序列

在本文中，我们研究了弱法定 2 范畴的有限 2 表示的短精确序列。我们提供了具有固定中间项的此类短精确序列与定义该中间项的余代数 1-态射的协幂次代数之间的对应关系。我们还将这些与潜在的阿贝尔 2 表示的回忆联系起来。