The categories of Yetter-Drinfel'd modules, Doi-Hopf modules and two-sided two-cosided Hopf modules

被引：5

作者：

Beattie, M

Dascalescu, S

Raianu, S

van Oystaeyen, F

机构：

[1] Mt Allison Univ, Dept Math & Comp Sci, Sackville, NB E4L IE6, Canada

[2] Univ Bucharest, Fac Math, R-70109 Bucharest, Romania

[3] Univ Instelling Antwerp, Dept Math, B-2610 Antwerp, Belgium

来源：

APPLIED CATEGORICAL STRUCTURES | 1998年 / 6卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

comodules; Hopf modules; Yetter-Drinfel'd modules;

D O I：

10.1023/A:1008660029543

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the two-sided two-cosided Hopf modules are in some case generalized Hopf modules in the sense of Doi. Then the equivalence between two-sided two-cosided Hopf modules and Yetter-Drinfel'd modules, proved in [8], becomes an equivalence between categories of Doi-Hopf modules. This equivalence induces equivalences between the underlying categories of (co)modules. We study the relation between this equivalence and the one given by the induced functor.

引用

页码：223 / 237

页数：15

共 10 条

[1]

Caenepeel S, 1995, MATH APPL, V343, P73

[2] Crossed modules and Doi-Hopf modules [J].