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.

引用

页码：595 / 615

页数：21

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