n-representation-finite algebras and twisted fractionally Calabi-Yau algebras

被引：45
作者：
Herschend, Martin [1 ]
Iyama, Osamu [1 ]
机构：
[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2011年 / 43卷
关键词：
MODULES; CATEGORIES; QUIVERS;
D O I：
10.1112/blms/bdq101
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study n-representation-finite algebras from the viewpoint of the fractionally Calabi-Yau property. We shall show that all n-representation-finite algebras are twisted fractionally Calabi-Yau. We also show that for any l > 0, twisted (n(l-1)/l)-Calabi-Yau algebras of global dimension at most n are n-representation-finite. As an application, we give a construction of n-representation-finite algebras using the tensor product.
引用
收藏
页码：449 / 466
页数：18
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