Multiplicative properties of a quantum Caldero–Chapoton map associated to valued quivers
Multiplicative properties of a quantum Caldero–Chapoton map associated to valued quivers
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DOI：
10.1016/j.jalgebra.2015.02.005
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发表时间：
2011-09
影响因子：
0.9
通讯作者：
Mingda Ding;Jie Sheng
中科院分区：
文献类型：
--
作者：
Mingda Ding;Jie Sheng
本文采用Hubery的方法[15]，证明了与无圈值箭图有关的量子Caldero-Chapoton映射的一个乘法定理，推广了[8]，[7]中的结果.作为应用，可以构造仿射值箭图的量子簇代数的一些积分基。
Following Hubery's approach [15], we prove a multiplication theorem of a quantum Caldero–Chapoton map associated to acyclic valued quivers which extends the results in [8], [7]. As an application, some integral bases of the quantum cluster algebras for affine valued quivers can be constructed.