On Cluster Variables of Rank Two Acyclic Cluster Algebras

被引：2

作者：

Lee, Kyungyong ^{[1
]}

机构：

[1] Wayne State Univ, Dept Math, Detroit, MI 48202 USA

来源：

ANNALS OF COMBINATORICS | 2012年 / 16卷 / 02期

基金：

美国国家科学基金会;

关键词：

cluster algebras; quiver representations; generalized Kronecker quiver; REPRESENTATIONS; POSITIVITY;

D O I：

10.1007/s00026-012-0134-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we find an explicit formula for the Laurent expression of cluster variables of coefficient-free rank two cluster algebras associated with the matrix , which manifestly shows that a large number of coefficients are non-negative. As a corollary, we obtain an explicit expression for the Euler-Poincar, characteristics of the corresponding quiver Grassmannians.

引用

页码：305 / 317

页数：13

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