Pyramids and 2-representations
Representation Theory
2017-05-10 v1
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 -representation of the -category of projective bimodules over a finite dimensional algebra is equivalent to a cell -representation.
Cite
@article{arxiv.1705.03174,
title = {Pyramids and 2-representations},
author = {Volodymyr Mazorchuk and Vanessa Miemietz and Xiaoting Zhang},
journal= {arXiv preprint arXiv:1705.03174},
year = {2017}
}