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The Freedom of Yetter-Drinfeld Hopf Algebras
School of Mathematics, Shanghai University of Finance and Economics, Shanghai, China
- 1 School of Mathematics, Shanghai University of Finance and Economics, Shanghai, China
Advances in Pure Mathematics·Volume 04 (2014)·Pages 522–528·Published 4 September 2014·DOI10.4236/apm.2014.49060
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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.
KeywordsHopf AlgebraHopf ModuleYetter-Drinfeld ModuleYetter-Drinfeld Hopf Algebra
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