Abstract
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 language | English |
|---|---|
| Pages (from-to) | 387–405 |
| Number of pages | 19 |
| Journal | Revista Matematica Iberoamericana |
| Volume | 36 |
| Issue number | 2 |
| Early online date | 25 Nov 2019 |
| DOIs | |
| Publication status | Published - 2020 |
Keywords
- 2-category
- 2-representation
- Finite dimensional algebra
- Projective bimodule
- Simple transitive 2-representation