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

Volodymyr Mazorchuk, Xiaoting Zhang

We show that any simple transitive $2$-representation of the $2$-ca\-te\-go\-ry of projective endofunctors for the quiver algebra of $\Bbbk(\xymatrix{\bullet\ar[r]&\bullet})$ and f…