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.
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收藏
页码：221 / 247
页数：27
相关论文
共 32 条
[1]  
Abe E., 1977, Hopf Algebras
[2]   CROSSED-PRODUCTS AND INNER ACTIONS OF HOPF-ALGEBRAS [J].
BLATTNER, RJ ;
COHEN, M ;
MONTGOMERY, S .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 298 (02) :671-711
[3]  
Caenepeel S, 1995, MATH APPL, V343, P73
[4]  
CAENEPEEL S, IN PRESS COMMUNICATI
[5]  
CAENEPEEL S, H COFROBENIUS COALGE
[6]  
CHASE S, 1969, LECT NOTS MATH, V97
[7]  
DASCALESCU S, 1997, COMMUNICATIONS ALGEB, V25
[8]  
DOI Y, 1992, J ALGEBRA, V153, P373, DOI 10.1016/0021-8693(92)90160-N
[9]  
DOI Y, 1983, COMMUN ALGEBRA, V11, P243, DOI 10.1080/00927878308822847
[10]  
DOI Y, 1981, J MATH SOC JPN, V33, P31, DOI 10.2969/jmsj/03310031
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