Braided groups and quantum groupoids

被引：2

作者：

Liu, G. H. ^{[1
]}

Zhu, H. X. ^{[2
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

[2] Univ Hasselt, Dept Math, B-3590 Diepenbeek, Belgium

来源：

ACTA MATHEMATICA HUNGARICA | 2012年 / 135卷 / 04期

关键词：

quantum groupoid; weak Hopf algebra; braided group; braided Hopf algebra; HOPF-ALGEBRAS; FACE ALGEBRAS;

D O I：

10.1007/s10474-011-0183-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a quasitriangular weak Hopf algebra. It is proved that the centralizer subalgebra of its source subalgebra in H is a braided group (or Hopf algebra in the category of left H-modules), which is cocommutative and also a left braided Lie algebra in the sense of Majid.

引用

页码：383 / 399

页数：17

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