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On quantum cluster algebras of finite type |
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| Authors: | Ming Ding |
| Affiliation: | Institute for Advanced Study, Tsinghua University, Beijing 100084, China |
| Abstract: | We extend the definition of a quantum analogue of the Caldero-Chapoton map defined by D. Rupel. When Q is a quiver of finite type, we prove that the algebra  (Q) generated by all cluster characters is exactly the quantum cluster algebra  (Q). |
| Keywords: | Cluster variable quantum cluster algebra |
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