TITLE:
The Freedom of Yetter-Drinfeld Hopf Algebras
AUTHORS:
Yanhua Wang
KEYWORDS:
Hopf Algebra, Hopf Module, Yetter-Drinfeld Module, Yetter-Drinfeld Hopf Algebra
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.9,
September
29,
2014
ABSTRACT: 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.