Pyramids and 2-representations

Volodymyr Mazorchuk, Xiaoting Zhang, Vanessa Miemietz

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
14 Downloads (Pure)


We describe a diagrammatic procedure which lifts strict monoidal actions from additive categories to categories of complexes avoiding any use of direct sums. As an application, we prove that every simple transitive 2-representation of the 2-category of projective bimodules over a finite dimensional algebra is equivalent to a cell 2-representation.

Original languageEnglish
Pages (from-to)387–405
Number of pages19
JournalRevista Matemática Iberoamericana
Issue number2
Early online date25 Nov 2019
Publication statusPublished - 2020


  • 2-category
  • 2-representation
  • Finite dimensional algebra
  • Projective bimodule
  • Simple transitive 2-representation

Cite this