Tannakian formalism for fiber functors over tensor categories

被引：0
|
作者：
Jafari, Amir [1 ]
Einollahzadeh, Mostafa [1 ]
机构：
[1] Sharif Univ, Dept Math Sci, Azadi Ave, Tehran, Iran
来源：
PERIODICA MATHEMATICA HUNGARICA | 2018年 / 77卷 / 01期
关键词：
Tannakian category; Module category; Fiber functor; Hopf algebra; Hopf algebroid; Framed object;
D O I：
10.1007/s10998-017-0213-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we generalize Tannakian formalism to fiber functors over general tensor categories. We will show that (under some technical conditions) if the fiber functor has a section, then the source category is equivalent to the category of comodules over a Hopf algebra in the target category. We will also give a description of this Hopf algebra using the notion of framed objects.
引用
收藏
页码：1 / 26
页数：26
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