Integral Bases of Cluster Algebras and Representations of Tame Quivers

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• 作者：Ming Ding (1)
  Jie Xiao (2)
  Fan Xu (2)
  
• 关键词：鈩?basis ; Cluster algebra ; Tame quiver ; 16G20 ; 16G70 ; 16S99
• 刊名：Algebras and Representation Theory
• 出版年：2013
• 出版时间：April 2013
• 年：2013
• 卷：16
• 期：2
• 页码：491-525
• 全文大小：566KB
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• 作者单位：Ming Ding (1)
  Jie Xiao (2)
  Fan Xu (2)
  
  1. School of Mathematical Sciences, Nankai University, Tianjin, 300071, China
  2. Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, People鈥檚 Republic of China
  
• ISSN：1572-9079

文摘

In Caldero and Keller (Invent Math 172:169鈥?11, 2008) and Sherman and Zelevinsky (Mosc Math J 4(4):947鈥?74, 2004), the authors constructed the bases of cluster algebras of finite types and of type $\widetilde{A}_{1,1}$ , respectively. In this paper, we will deduce 鈩?bases for cluster algebras of affine types.