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On quantum cluster algebras of finite type |
Ming DING( ) |
| Institute for Advanced Study, Tsinghua University, Beijing 100084, China |
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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 ??|k|(Q) generated by all cluster characters is exactly the quantum cluster algebra ??|k|(Q).
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| Keywords
Cluster variable
quantum cluster algebra
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Corresponding Author(s):
DING Ming,Email:m-ding04@mails.tsinghua.edu.cn
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Issue Date: 01 April 2011
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