关于$\omega$-Smash余积Hopf代数的$(f,\omega)$相容对$(B,,H)$

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

中文关键词:  $\omega$-Smash余积Hopf代数  $(f,\omega)$相容对  Yetter-Drinfeld范畴.

英文关键词:$\omega$-smash coproduct Hopf algebras  $(f,\omega)$-compatible pair  Yetter-Drinfeld category.

中文摘要:

      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.

英文摘要:

      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 $B_{\omega}\bowtie H$.