c-vectors and dimension vectors for cluster-finite quivers

被引：8

作者：

Chavez, Alfredo Najera ^{[1
]}

机构：

[1] Univ Paris 07, Inst Math Jussieu, CNRS, UMR 7586, F-75205 Paris 13, France

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2013年 / 45卷

关键词：

TRIANGULATED CATEGORIES; ALGEBRAS II; POTENTIALS; MUTATIONS;

D O I：

10.1112/blms/bdt062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (Q, W) be a quiver with a non-degenerate potential. We give a new description of the c-vectors of Q. We use it to show that, if Q is mutation equivalent to a Dynkin quiver, then the set of positive c-vectors of the cluster algebra associated to Q coincides with the set of dimension vectors of the indecomposable modules over the Jacobian algebra of (Q, W).

引用

页码：1259 / 1266

页数：8

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