论文标题
YETTER-DRINFELD代数在一系列乘数Hopf代数配对上
Yetter-Drinfeld algebras over a pairing of multiplier Hopf algebras
论文作者
论文摘要
在目前的工作中，我们研究了Yetter-drinfeld代数，以乘数型Hopf代数配对。我们的主要动机是（C* - ）代数量子转换群体的自偶联理论的构建。我们不是在HOPF代数中给出的Yetter-Drinfeld代数的标准表征，而是在乘数Hopf代数的框架中开发了同等的“仅辅助”表征。最后，作为一种特殊情况，我们将重点放在Van Daele代数量子组上的Yetter-Drinfeld结构上。
In the present work, we study Yetter-Drinfeld algebras over a pairing of multiplier Hopf algebras. Our main motivation is the construction of a self-dual theory of (C*-)algebraic quantum transformation groupoids. Instead of the standard characterization of Yetter-Drinfeld algebras given in the case of Hopf algebras, we develop an equivalent "only coaction" characterization in the framework of multiplier Hopf algebras. Finally, as a special case, we focus on Yetter-Drinfeld structures over Van Daele's algebraic quantum groups.
