Mutating loops and 2-cycles in 2-CY triangulated categories

被引：5

作者：

Bertani-Okland, Marco Angel ^{[1
]}

Oppermann, Steffen ^{[1
]}

机构：

[1] NTNU, Inst Matemat Fag, N-7491 Trondheim, Norway

来源：

JOURNAL OF ALGEBRA | 2011年 / 334卷 / 01期

关键词：

2-Calabi-Yau triangulated category; Mutation; Loop; Cluster-tilting object; 2-Calabi-Yau tilted algebra; CLUSTER-TILTED ALGEBRAS; QUIVERS; REPRESENTATIONS; MODULES;

D O I：

10.1016/j.jalgebra.2011.03.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive a method for mutating quivers of 2-CY tilted algebras that have loops and 2-cycles, under certain specific conditions. Further, we give the classification of the 2-CY tilted algebras coming from standard algebraic 2-CY triangulated categories with a finite number of indecomposables. These algebras satisfy the setup for our method of mutation. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：195 / 218

页数：24

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