($f,\omega$)-Compatible Pair $(B,H)$ for $\omega$-Smash Coproduct Hopf Algebras

DOI：10.3770/j.issn:1000-341X.2010.02.007

 作者 单位 郑乃峰 宁波大学理学院, 浙江 宁波 315211

本文定义了一个$(f,\omega)$ 相容对 $(B,H)$, 并利用这样的相容对构造Yetter-Drinfeld 范畴中 $^H_H$YD的Hopf代数.

In this paper we introduce the notion of $(f,\omega)$-compatible pair $(B,H)$, by which we construct a Hopf algebra in the category $^H_H$YD of Yetter-Drinfeld $H$-modules by twisting the comultiplication of $B$. We also study the property of $\omega$-smash coproduct Hopf algebras $B_{\omega}\bowtie H$.