Pyramids and 2-representations

Volodymyr Mazorchuk; Vanessa Miemietz; Xiaoting Zhang

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arXiv · 1705.03174

Pyramids and 2-representations

Volodymyr Mazorchuk·Vanessa Miemietz·Xiaoting Zhang

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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.

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BibTeX RIS

Volodymyr Mazorchuk, Vanessa Miemietz, Xiaoting Zhang. 2017-05-09. Pyramids and 2-representations. https://arxiv.org/abs/1705.03174

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