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.
引用
收藏
页码：221 / 247
页数：27
相关论文
共 50 条
  • [1] Crossed modules and doi-hopf modules
    S. Caenepeel
    G. Militaru
    Zhu Shenglin
    Israel Journal of Mathematics, 1997, 100 : 221 - 247
  • [2] On the Cohomology of Doi-Hopf Modules
    Zhu, Hong
    Chen, Hui-Xiang
    Tang, Haijun
    COMMUNICATIONS IN ALGEBRA, 2010, 38 (05) : 1869 - 1903
  • [3] Rudiment of weak Doi-Hopf π-modules
    贾玲
    李方
    Journal of Zhejiang University-Science A(Applied Physics & Engineering), 2005, (S1) : 144 - 154
  • [4] Rudiment of weak Doi-Hopf π-modules
    Jia L.
    Li F.
    Journal of Zhejiang University-SCIENCE A, 2005, 6 (Suppl 1): : 144 - 154
  • [5] Doi-Hopf modules over Weak Hopf Algebras
    Böhm, G
    COMMUNICATIONS IN ALGEBRA, 2000, 28 (10) : 4687 - 4698
  • [6] A Maschke Type Theorem for Doi-Hopf π-modules
    Chen Quan-guo Tang Jian-gang (Department of Mathematics
    Communications in Mathematical Research, 2012, 28 (04) : 289 - 299
  • [7] Separable functors for the category of Doi-Hopf π-modules
    Chen, Quan-guo
    Wang, Shuan-hong
    ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2011, 81 (02): : 261 - 272
  • [8] The Category of Partial Doi-Hopf Modules and Functors
    Chen, Q. -G.
    Wang, D. -G.
    RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 2013, 129 : 189 - 204
  • [9] Separable functors for the category of Doi-Hopf π-modules
    Quan-guo Chen
    Shuan-hong Wang
    Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2011, 81 : 261 - 272
  • [10] DOI-HOPF MODULES ASSOCIATED TO COMODULE COALGEBRAS
    Dascalescu, S.
    Nastasescu, C.
    Toader, B.
    COMMUNICATIONS IN ALGEBRA, 2013, 41 (05) : 1854 - 1864
12345