Crossed modules and Doi-Hopf modules

被引：48
|
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.
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页码：221 / 247
页数：27
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