Bar-invariant bases of the quantum cluster algebra of type A2(2) |
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| Authors: | Xueqing Chen Ming Ding Jie Sheng |
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| Affiliation: | 1.Department of Mathematical and Computer Sciences,University of Wisconsin-Whitewater,Whitewater,USA;2.Center for Advanced Study,Tsinghua University,Beijing,P.R.China;3.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing,P.R.China |
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| Abstract: | We construct bar-invariant ℤ[q ±1/2]-bases of the quantum cluster algebra of the valued quiver A 2(2), one of which coincides with the quantum analogue of the basis of the corresponding cluster algebra discussed in P. Sherman, A. Zelevinsky: Positivity and canonical bases in rank 2 cluster algebras of finite and affine types, Moscow Math. J., 4, 2004, 947–974. |
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