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A quantum analogue of generalized cluster algebras
BAI Li-Qian 1,CHEN Xue-Qing 2,DING Ming 3 *,XU Fan 4
1.Department of Science, Northwestern Polytechnical University, Xi\'an 710012, China
2.Department of Mathematics, University of Wisconsin-Whitewater, Whitewater, WI.53190.USA
3.School of Mathematical Sciences, Nankai University, Tianjin 300071, China
4.Department of Mathematical Sciences, Tsinghua University, Beijing 10008, China
*Correspondence author
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Funding: the SpecializedResearch Fund for the Doctoral Program of Higher Education of China （No.20130031120004）, National Natural Science Foundation of China （No.11301282）
Opened online:30 December 2016
Accepted by: none
Citation: BAI Li-Qian,CHEN Xue-Qing,DING Ming.A quantum analogue of generalized cluster algebras[OL]. [30 December 2016] http://en.paper.edu.cn/en_releasepaper/content/4715701
 
 
We define a quantum analogue of a class of generalized cluster algebras which can be viewed as a generalization of quantum cluster algebras. In the case of rank two, we extend some structural results from the classical theory of generalized cluster algebras to the quantum case.
Keywords:generalized cluster algebra, generalized quantum cluster algebra, Laurent phenomenon, standard monomial
 
 
 

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