Horizontal and vertical mutation fans

作     者：Kiyoshi Igusa 

作者机构：Department of Mathematics Brandeis University 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2019年第62卷第7期

页      面：1267-1288页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：exceptional sequence m-cluster category semi-invariant pictures t-structures c-vectors g-vectors silting objects simple minded collections 

摘      要：We introduce diagrams for m-cluster categories which we call horizontal and vertical mutation fans. These are analogous to the mutation fans(also known as semi-invariant pictures or scattering diagrams) for the standard(m = 1) cluster case, which are dual to the poset of finitely generated torsion classes. The purpose of these diagrams is to visualize mutations and analogues of maximal green sequences in the m-cluster category with special emphasis on the c-vectors(the brick labels).