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.

引用

页码：61 / 97

页数：37

共 39 条

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