Atomic bases of cluster algebras of types A and A

被引：12
作者：
Dupont, Gregoire [1 ]
Thomas, Hugh [2 ]
机构：
[1] Univ Sherbrooke, Dept Math, Sherbrooke, PQ J1K 2R1, Canada
[2] Univ New Brunswick, Dept Math & Stat, Fredericton, NB E3B 5A3, Canada
来源：
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2013年 / 107卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
CANONICAL BASES; POTENTIALS; CHARACTERS; QUIVERS; POSITIVITY; CATEGORIES; VARIABLES; SURFACE; FINITE;
D O I：
10.1112/plms/pdt001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give explicit atomic bases of arbitrary coefficient-free cluster algebras of types A and A. This entails showing that the minimal elements of the positive semiring of these cluster algebras form a linear basis over the integers for the cluster algebra.
引用
收藏
页码：825 / 850
页数：26
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