STRUCTURE THEOREMS FOR BICOMODULE ALGEBRAS OVER QUASI-HOPF ALGEBRAS, WEAK HOPF ALGEBRAS, AND BRAIDED HOPF ALGEBRAS

被引：3

作者：

Dello, Jeroen ^{[1
]}

Panaite, Florin ^{[2
]}

Van Oystaeyen, Freddy ^{[3
]}

Zhang, Yinhuo ^{[4
]}

机构：

[1] Univ Hasselt, Dept Math & Stat, Diepenbeek, Belgium

[2] Romanian Acad, Inst Math, POB 1-764, RO-014700 Bucharest, Romania

[3] Univ Antwerp, Dept Math & Comp Sci, Antwerp, Belgium

[4] Univ Hasselt, Dept Math & Stat, Diepenbeek, Belgium

来源：

COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 11期

关键词：

Bicomodule algebra; Braided Hopf algebra; Quasi-Hopf algebra; Weak Hopf algebra; Yetter-Drinfeld module; CROSSED-MODULES; PRODUCTS;

D O I：

10.1080/00927872.2015.1094487

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a quasi-Hopf algebra, a weak Hopf algebra, or a braided Hopf algebra. Let B be an H-bicomodule algebra such that there exists a morphism of H-bicomodule algebras v : H -> B. Then we can define an object B-co(H), which is a left-left Yetter-Drinfeld module over H, having extra properties that allow to make a smash product B-co(H)#H, which is an H-bicomodule algebra, isomorphic to B.

引用

页码：4609 / 4636

页数：28

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