论文标题
无限量子排列
Infinite quantum permutations
论文作者
论文摘要
我们定义和研究无限集的量子排列。这会导致离散的量子组，可以将其视为Wang引入的量子置换基团的无限变体。更确切地说，所得的量子组编码所有离散量子组之间基础集的通用量子对称性。我们还讨论了无限图的量子自动形态，包括有关在这种情况下量子对称性的存在和不存在的一些示例和开放问题。
We define and study quantum permutations of infinite sets. This leads to discrete quantum groups which can be viewed as infinite variants of the quantum permutation groups introduced by Wang. More precisely, the resulting quantum groups encode universal quantum symmetries of the underlying sets among all discrete quantum groups. We also discuss quantum automorphisms of infinite graphs, including some examples and open problems regarding both the existence and non-existence of quantum symmetries in this setting.
