Quotients of cluster categories

被引：21

作者：

Jorgensen, Peter ^{[1
]}

机构：

[1] Newcastle Univ, Sch Math & Stat, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2010年 / 140卷

关键词：

TRIANGULATED CATEGORIES; TILTED ALGEBRAS; MUTATION; QUIVERS; SEEDS;

D O I：

10.1017/S0308210508000425

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Higher cluster categories were recently introduced as a generalization of cluster categories. This paper shows that in Dynkin types A and D, half of all higher cluster categories can he obtained as quotients of cluster categories. The other Half are quotients of 2-cluster categories, the 'lowest' type of higher cluster categories. Hence; in Dynkin types A and D, all higher cluster phenomena are implicit in cluster categories and 2-cluster categories. In contrast, the same is not true in Dynkin type F.

引用

页码：65 / 81

页数：17

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