Pyramids and 2-representations

Volodymyr Mazorchuk; Xiaoting Zhang; Vanessa Miemietz

doi:10.4171/rmi/1133

Pyramids and 2-representations

Volodymyr Mazorchuk, Xiaoting Zhang, Vanessa Miemietz

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

24 Downloads (Pure)

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	https://doi.org/10.4171/rmi/1133
Publication status	Published - 2020

Keywords

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

Access to Document

10.4171/rmi/1133

Accepted_ManuscriptAccepted author manuscript, 364 KB

Cite this

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