论文标题
关于Hopf代数的Yetter-Drinfeld代数的注释
Notes on Yetter-Drinfeld algebras over Hopf algebras
论文作者
论文摘要
在这项工作中,我们研究了Yetter-Drinfeld代数对有限维型HOPF代数的另一个表征。我们显示了这种表征之间的等效性,称为“唯一的共同”表征和标准的“动作共同行动”表征。这种现代化的drinfeld代数的方法是由量子群的作用引起的量子转化群体型量子转化群体的关键要素之一。
In this work, we study another characterization of Yetter-Drinfeld algebras over finite-dimensional Hopf algebras. We show the equivalence between this characterization, called the "only coaction" characterization, and the standard "action-coaction" characterization. This modern approach for Yetter-Drinfeld algebras is one of the key ingredient in a self-dual theory of quantum transformation groupoids arising from actions of quantum groups.