论文标题
部分$*$ - 代数量子群和Drinfeld的局部紧凑型量子组
Partial $*$-algebraic quantum groups and Drinfeld doubles of partial compact quantum groups
论文作者
论文摘要
我们引入了部分代数量子组的概念。这是一个重要的特殊情况，即van Daele和Wang的工作中介绍的具有积分的乘数较弱的HOPF代数。同时，它概括了De Commer和Timmermann引入的部分紧凑型量子组的概念。作为一个应用程序，我们表明部分紧凑型量子组的Drinfeld双重可以定义为部分$*$ - 代数量子组。
We introduce a notion of partial algebraic quantum group. This is an important special case of a weak multiplier Hopf algebra with integrals, as introduced in the work of Van Daele and Wang. At the same time, it generalizes the notion of partial compact quantum group as introduced by De Commer and Timmermann. As an application, we show that the Drinfeld double of a partial compact quantum group can be defined as a partial $*$-algebraic quantum group.
