论文标题
量子主束和量子连接的功能性
Functoriality of Quantum Principal Bundles and Quantum Connections
论文作者
论文摘要
在类别理论的框架中，我们研究紧凑型量子组的有限维表示与具有线性连接的量子矢量捆绑包之间的关联，该量子与给定的量子主束具有主连接。特别是，我们提出了这种{\ it量子关联函数}和具有主连接的量子主束之间的分类等效性。
In the framework of Category Theory, we study the association between finite--dimensional representations of a compact quantum group and quantum vector bundles with linear connections for a given quantum principal bundle with a principal connection. In particular, we present a categorical equivalence between this kind of {\it quantum association functors} and quantum principal bundles with principal connections.
