Crossed modules and doi-hopf modules

被引：0
|
作者：
S. Caenepeel
G. Militaru
Zhu Shenglin
机构：
[1] University of Brussels,Faculty of Applied Sciences
[2] VUB,Faculty of Mathematics
[3] University of Bucharest,Institute of Mathematics
[4] Fudan University,undefined
来源：
Israel Journal of Mathematics | 1997年 / 100卷
关键词：
Hopf Algebra; Left Adjoint; Forgetful Functor; Smash Product; Cross Module;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that crossed modules (or Yetter-Drinfel’d modules) are special cases of Doi’s unified Hopf modules. The category of crossedH-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：26
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