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A quantum analogue of generic bases for affine cluster algebras

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Abstract

We construct quantized versions of generic bases in quantum cluster algebras of finite and affine types. Under the specialization of q and coefficients to 1, these bases are generic bases of finite and affine cluster algebras.

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Authors and Affiliations

  1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, China

    Ming Ding

  2. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China

    Fan Xu

Authors
  1. Ming Ding
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  2. Fan Xu
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Correspondence to Ming Ding.

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Ding, M., Xu, F. A quantum analogue of generic bases for affine cluster algebras. Sci. China Math. 55, 2045–2066 (2012). https://doi.org/10.1007/s11425-012-4423-x

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  • DOI: https://doi.org/10.1007/s11425-012-4423-x

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