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.

引用

页码：137 / 157

页数：21

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