On quantum cluster algebras of finite type

On quantum cluster algebras of finite type
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DOI:
10.1007/s11464-011-0104-2
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发表时间:
2010-11
影响因子:
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通讯作者:
Mingda Ding
Mingda Ding
中科院分区:
数学4区
文献类型:
--
作者:
Mingda Ding

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我们扩展了D. Rupel定义的Caldero-Chapoton映射的量子模拟的定义。当Q是有限型颤振时,我们证明了由所有簇字符生成的代数(Q)正是量子簇代数(Q)。
We extend the definition of a quantum analogue of the Caldero-Chapoton map defined by D. Rupel. WhenQis a quiver of finite type, we prove that the algebra (Q) generated by all cluster characters is exactly the quantum cluster algebra (Q).