We describe a natural q-deformation of Fock and Goncharov’s canonical basis for the algebra of regular functions on a cluster variety associated to a quiver of type A. We then describe an extension of this construction involving a cluster variety called the symplectic double.

中文翻译：

---

正则基的量子化和量子辛双重。

我们描述了Fock和Goncharov的自然q变形，它是与A型颤动相关的簇上正则函数的代数的正则代数 。然后，我们描述此构造的扩展，其中涉及称为辛双精度的簇变量。