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Bases of the Quantum Cluster Algebra of the Kronecker Quiver 被引量：1

Bases of the Quantum Cluster Algebra of the Kronecker Quiver
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摘要 We construct bar-invariant Z[q ±1/2]-bases of the quantum cluster algebra of Kronecker quiver which are quantum analogues of the canonical basis, semicanonical basis and dual semicanonical basis of the corresponding cluster algebra. As a byproduct, we prove positivity of the elements in these bases. We construct bar-invariant Z[q ±1/2]-bases of the quantum cluster algebra of Kronecker quiver which are quantum analogues of the canonical basis, semicanonical basis and dual semicanonical basis of the corresponding cluster algebra. As a byproduct, we prove positivity of the elements in these bases.
作者 Ming DING Fan XU
机构地区 School of Mathematical Sciences Department of Mathematical Sciences
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第6期1169-1178,共10页 数学学报（英文版）
基金 supported by the Fundamental Research Funds for the Central Universities partially supported by the Ph.D. Programs Foundation of Ministry of Education of China (Grant No.200800030058)
关键词 Quantum cluster algebra Z[q ±1/2]-basis POSITIVITY Quantum cluster algebra,Z[q ±1/2]-basis, positivity
分类号 O152.5 [理学—基础数学]
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Acta Mathematica Sinica,English Series
2012年 第6期

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