Y Quasi-quantum groups obtained from the Tannaka-Krein reconstruction theorem

被引：0
|
作者：
Bulacu, D. [1 ]
Torrecillas, B. [2 ]
机构：
[1] Univ Bucharest, Fac Math & Informat, Str Acad 14, Bucharest 010014 1, Romania
[2] Univ Almeria, Dept Algebra & Anal, Almeria 04071, Spain
来源：
CATEGORICAL, HOMOLOGICAL AND COMBINATORIAL METHODS IN ALGEBRA | 2020年 / 751卷
关键词：
DIAGONAL CROSSED-PRODUCTS; HOPF-ALGEBRAS; MODULES;
D O I：
10.1090/conm/751/15086
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We review the reconstruction theorem for quasi-quantum groups, also known as quasitriangular (QT for short) quasi-Hopf algebras. It allows to obtain for free the QT quasi-Hopf algebra structure of the quantum double of a quasi-Hopf algebra, as well as the biproduct quasi-Hopf algebra structure built on a smash product algebra. Our monoidal categorical approach can be used in order to obtain similar structures for different Hopf like algebras, too.
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页码：61 / 97
页数：37
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