The Freedom of Yetter-Drinfeld Hopf Algebras
The Freedom of Yetter-Drinfeld Hopf Algebras
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DOI：
10.4236/apm.2014.49060
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发表时间：
2014-09
期刊：
影响因子：
--
通讯作者：
Yan-hua Wang
中科院分区：
文献类型：
--
作者：
Yan-hua Wang
本文证明了Yetter-Drinfeld Hopf模的基本定理。作为应用，给出了两个Yetter-Drinfeld Hopf代数的张量和扭张量的自由度.设A是Yetter-Drinfeld Hopf代数.证明了A-双模范畴与-扭模范畴是等价的。
In this paper, the fundamental theorem of Yetter-Drinfeld Hopf module is proved. As applications, the freedom of tensor and twisted tensor of two Yetter-Drinfeld Hopf algebras is given. Let A be a Yetter-Drinfeld Hopf algebra. It is proved that the category of A-bimodule is equivalent to the category of -twisted module.