Том 71
№ 7

All Issues

Zhang Xiaoting

Articles: 1
Article (English)

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

Mazorchuk V. S., Zhang Xiaoting

↓ Abstract

Ukr. Mat. Zh. - 2018. - 70, № 12. - pp. 1625-1649

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-representation.