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.

引用

页码：887 / 893

页数：7

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