Crossed modules and Doi-Hopf modules

被引：49

作者：

Caenepeel, S

Militaru, G

Zhu, SL

机构：

[1] UNIV BUCHAREST, FAC MATH, RO-70109 BUCHAREST 1, ROMANIA

[2] FUDAN UNIV, INST MATH, SHANGHAI 200433, PEOPLES R CHINA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1997年 / 100卷 / 1期

关键词：

D O I：

10.1007/BF02773642

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that crossed modules (or Yetter-Drinfel'd modules) are special cases of Doi's unified Hopf modules. The category of crossed X-modules is therefore a Grothendieck category (if we work over a field), and the Drinfel'd double appears as a type of generalized smash product.

引用

页码：221 / 247

页数：27

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