A Caldero-Chapoton formula for generalized cluster categories

被引：9
作者：
Dominguez, Salomon [1 ]
Geiss, Christof [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico
来源：
JOURNAL OF ALGEBRA | 2014年 / 399卷
关键词：
Cluster character; Cluster category; Auslander-Reiten translate; CHARACTERS; ALGEBRAS;
D O I：
10.1016/j.jalgebra.2013.10.018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Caldero-Chapoton formula relates for hereditary algebras of Dynkin type the cluster characters of the end terms of an Auslander-Reiten sequence with the cluster character of the middle term. We extend this result to generalized cluster categories with cluster tilting object by considering Auslander-Reiten triangles. (C) 2013 Elsevier Inc. All rights reserved.
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页码：887 / 893
页数：7
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