Simple transitive 2-representations for two non-fiat 2-categories of projective functors

• Date: 2018
• Main Authors: Mazorchuk, V. S., Zhang, Xiaoting, Мазорчук, В. С., Чжан, Сяотин
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2018
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1665
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We show that any simple transitive 2-representation of the 2-category of projective endofunctors for the quiver algebra of $\mathbb{k}(\bullet \rightarrow \bullet )$ and for the quiver algebra of $\mathbb{k}(\bullet \rightarrow \bullet \rightarrow \bullet )$ is equivalent to a cell 2-representati...