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

  • V. S. Mazorchuk
  • Xiaoting Zhang


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.
How to Cite
Mazorchuk, V. S., and X. Zhang. “Simple Transitive 2-Representations for Two Non-Fiat 2-Categories of Projective Functors”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, no. 12, Dec. 2018, pp. 1625-49,
Research articles