Coidempotent subcoalgebras and short exact sequences of finitary 2-representations
| Autor: | Vanessa Miemietz, Aaron Chan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
General Mathematics Coalgebra 010102 general mathematics Mathematics::Rings and Algebras Middle term 01 natural sciences Mathematics::Category Theory 0103 physical sciences FOS: Mathematics Finitary 010307 mathematical physics 0101 mathematics Abelian group Representation Theory (math.RT) Mathematics - Representation Theory Mathematics |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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