Tannakian formalism for fiber functors over tensor categories

被引：0
|
作者：
Amir Jafari
Mostafa Einollahzadeh
机构：
[1] Sharif University,Department of Mathematical Sciences
来源：
Periodica Mathematica Hungarica | 2018年 / 77卷
关键词：
Tannakian category; Module category; Fiber functor; Hopf algebra; Hopf algebroid; Framed object; 18D10; 18D15; 19D23; 16T05;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：1 / 26
页数：25
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