ADDITIVE VERSUS ABELIAN 2-REPRESENTATIONS OF FIAT 2-CATEGORIES

被引：0
|
作者：
Mazorchuk, Volodymyr [1 ]
Miemietz, Vanessa [2 ]
机构：
[1] Uppsala Univ, Dept Math, S-75106 Uppsala, Sweden
[2] Univ E Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England
来源：
MOSCOW MATHEMATICAL JOURNAL | 2014年 / 14卷 / 03期
关键词：
2-category; 2-representation; functor; natural transformation; additive category; abelian category; CATEGORIFICATION; REPRESENTATIONS; FINITE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study connections between additive and abelian 2-representations of fiat 2-categories, describe combinatories of 2-categories in terms of multisemigroups and determine the annihilator of a cell 2-representation. We also describe, in detail, examples of fiat 2-categories associated to sl(2)-categorification in the sense of Chuang and Rouquier, and 2-categorical analogues of Schur algebras.
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页码：595 / 615
页数：21
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