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

页码：221 / 247

页数：27

共 32 条

[11] DRINFELD VG, 1987, P ICM BERK AM MATH S
[12] Dsclescu S., 1995, TSUKUHA J MATH, V19, P395, DOI [10.21099/tkbjm/1496162878, DOI 10.21099/TKBJM/1496162878]
[13] GAMST J, 1969, CR ACAD SCI A MATH, V269, P560
[14] Kassel C., 1995, GTM, V155
[15] LAMBE LA, 1992, J ALGEBRA, V154, P228
[16] BRAUER GROUP OF DIMODULE ALGEBRAS
LONG, FW
[J]. JOURNAL OF ALGEBRA, 1974, 30 (1-3) : 559 - 601
[17] PHYSICS FOR ALGEBRAISTS - NONCOMMUTATIVE AND NONCOCOMMUTATIVE HOPF-ALGEBRAS BY A BICROSSPRODUCT CONSTRUCTION
MAJID, S
[J]. JOURNAL OF ALGEBRA, 1990, 130 (01) : 17 - 64
[18] DOUBLES OF QUASI-TRAINGULAR HOPF-ALGEBRAS
MAJID, S
[J]. COMMUNICATIONS IN ALGEBRA, 1991, 19 (11) : 3061 - 3073
[19] Majid S., 1995, FDN QUANTUM GROUP TH
[20] MILITARU G, IN PRESS REV ROUMAIN

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