Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients  

作　　者：Ming Ding Fan Xu Xueqing Chen 

机构地区：[1]School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China [2]Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China [3]Department of Mathematics,University of Wisconsin-Whitewater,Whitewater,WI 53190,USA

出　　处：《Science China Mathematics》2023年第9期1933-1948,共16页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11771217);supported by National Natural Science Foundation of China(Grant No.12031007)。

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 barinvariant positive ZP-bases with one being the atomic basis.

关 键 词：quantum cluster algebra cluster variable positive basis 

分 类 号：O15[理学—数学]