Cluster categories and duplicated algebras

被引：15

作者：

Assem, I. ^{[1
]}

Brustle, T.

Schiffler, R.

Todorov, G.

机构：

[1] Univ Sherbrooke, Dept Math, Sherbrooke, PQ J1K 2R1, Canada

[2] Bishops Univ, Dept Math, Lennoxville, PQ J1M 1Z7, Canada

[3] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

[4] Northeastern Univ, Dept Math, Boston, MA 02115 USA

来源：

JOURNAL OF ALGEBRA | 2006年 / 305卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

cluster category; tilting; duplicated algebra;

D O I：

10.1016/j.jalgebra.2005.12.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a hereditary algebra. We construct a fundamental domain for the cluster category CA inside the category of modules over the duplicated algebra A of A. We then prove that there exists a bijection between the tilting objects in CA and the tilting A-modules all of whose nonprojective-injective indecomposable summands lie in the left part of the module category of A. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：548 / 561

页数：14

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