Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients

被引：0
|
作者：
Ming Ding
Fan Xu
Xueqing Chen
机构：
[1] Guangzhou University,School of Mathematics and Information Science
[2] Tsinghua University,Department of Mathematical Sciences
[3] University of Wisconsin-Whitewater,Department of Mathematics
来源：
Science China Mathematics | 2023年 / 66卷
关键词：
quantum cluster algebra; cluster variable; positive basis; 13F60; 16G20; 18E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We use the quantum version of Chebyshev polynomials to explicitly construct the recursive formulas for the Kronecker quantum cluster algebra with principal coefficients. As a byproduct, we obtain two bar-invariant positive ℤℙ-bases with one being the atomic basis.
引用
收藏
页码：1933 / 1948
页数：15
相关论文
共 50 条
  • [1] Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients
    Ming Ding
    Fan Xu
    Xueqing Chen
    ScienceChina(Mathematics), 2023, 66 (09) : 1933 - 1948
  • [2] Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients
    Ding, Ming
    Xu, Fan
    Chen, Xueqing
    SCIENCE CHINA-MATHEMATICS, 2023, 66 (09) : 1933 - 1948
  • [3] Bases of the quantum cluster algebra of the Kronecker quiver
    Ming Ding
    Fan Xu
    Acta Mathematica Sinica, English Series, 2012, 28 : 1169 - 1178
  • [4] Bases of the quantum cluster algebra of the Kronecker quiver
    Ding, Ming
    Xu, Fan
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2012, 28 (06) : 1169 - 1178
  • [5] Bases of the Quantum Cluster Algebra of the Kronecker Quiver
    Ming DING
    Fan XU
    ActaMathematicaSinica, 2012, 28 (06) : 1169 - 1178
  • [6] Bases of the Quantum Cluster Algebra of the Kronecker Quiver
    Ming DING
    Fan XU
    Acta Mathematica Sinica,English Series, 2012, (06) : 1169 - 1178
  • [7] A generalized quantum cluster algebra of Kronecker type
    Bai, Liqian
    Chen, Xueqing
    Ding, Ming
    Xu, Fan
    ELECTRONIC RESEARCH ARCHIVE, 2024, 32 (01): : 670 - 685
  • [8] THE PARTITION ALGEBRA AND THE KRONECKER COEFFICIENTS
    Bowman, C.
    De Visscher, M.
    Orellana, R.
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 367 (05) : 3647 - 3667
  • [9] A Quantum Cluster Algebra of Kronecker Type and the Dual Canonical Basis
    Lampe, Philipp
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2011, 2011 (13) : 2970 - 3005
  • [10] Quantum Complexity of the Kronecker Coefficients
    Bravyi, Sergey
    Chowdhury, Anirban
    Gosset, David
    Havlicek, Vojtech
    Zhu, Guanyu
    PRX QUANTUM, 2024, 5 (01):
12345