Pyramids and 2-representations

被引：7
|
作者：
Mazorchuk, Volodymyr [1 ]
Miemietz, Vanessa [2 ]
Zhang, Xiaoting [1 ]
机构：
[1] Uppsala Univ, Dept Math, Box 480, S-75106 Uppsala, Sweden
[2] Univ East Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England
来源：
REVISTA MATEMATICA IBEROAMERICANA | 2020年 / 36卷 / 02期
基金：
瑞典研究理事会;
关键词：
2-category; 2-representation; simple transitive 2-representation; projective bimodule; finite dimensional algebra; SIMPLE TRANSITIVE 2-REPRESENTATIONS;
D O I：
10.4171/RMI/1133
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：387 / 405
页数：19
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