Minimal length maximal green sequences and triangulations of polygons

被引：5

作者：

Cormier, E. ^{[1
]}

Dillery, P. ^{[2
]}

Resh, J. ^{[3
]}

Serhiyenko, K. ^{[4
]}

Whelan, J. ^{[5
]}

机构：

[1] Dept Math, Bowdoin Coll, Brunswick, ME 04011 USA

[2] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

[3] Roger Williams Univ, Dept Math, Bristol, RI 02809 USA

[4] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[5] Vassar Coll, Dept Math, Poughkeepsie, NY 12604 USA

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2016年 / 44卷 / 04期

基金：

美国国家科学基金会;

关键词：

Maximal green sequence; Cluster algebra; Surface triangulation; CLUSTER ALGEBRAS; QUIVERS;

D O I：

10.1007/s10801-016-0694-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use combinatorics of quivers and the corresponding surfaces to study maximal green sequences of minimal length for quivers of type . We prove that such sequences have length , where n is the number of vertices and t is the number of 3-cycles in the quiver. Moreover, we develop a procedure that yields these minimal length maximal green sequences.

引用

页码：905 / 930

页数：26

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