AN INTRODUCTION TO HIGHER CLUSTER CATEGORIES

被引：0
作者：
Buan, A. B. [1 ]
机构：
[1] Norges Teknisk Naturvitenskapelige Univ, Inst Matemat, N-7491 Trondheim, Norway
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2011年 / 37卷 / 02期
关键词：
Cluster categories; tilting; triangulated categories; SIMPLICIAL COMPLEX; MUTATION; ALGEBRAS; QUIVERS; OBJECTS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this survey, we give an overview over some aspects of the set of tilting objects in an m-cluster category, with focus on those properties which are valid for all m >= 1. We focus on the following three combinatorial aspects: modeling the set of tilting objects using arcs in certain polygons, the generalized assicahedra of Fomin and Reading, and colored quiver mutation.
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页码：137 / 157
页数：21
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