Minimal length maximal green sequences

被引：5

作者：

Garver, Alexander ^{[1
]}

McConville, Thomas ^{[2
]}

Serhiyenko, Khrystyna ^{[3
]}

机构：

[1] Univ Quebec Montreal, Lab Combinatoire & Informat Math, Montreal, PQ, Canada

[2] MIT, Dept Math, Cambridge, MA 02139 USA

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

来源：

ADVANCES IN APPLIED MATHEMATICS | 2018年 / 96卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Quiver mutation; Triangulated surface; Scattering diagram; Maximal green sequence; CLUSTER-TILTED ALGEBRAS; EQUIVALENCE CLASSIFICATION; QUIVERS;

D O I：

10.1016/j.aam.2017.12.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Maximal green sequences are important objects in representation theory, cluster algebras, and string theory. It is an open problem to determine what lengths are achieved by the maximal green sequences of a quiver. We combine the combinatorics of surface triangulations and the basics of scattering diagrams to address this problem. Our main result is a formula for the length of minimal length maximal green sequences of quivers defined by triangulations of an annulus or a punctured disk. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：76 / 138

页数：63

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