REPETITIVE CLUSTER-TILTED ALGEBRAS

Let H be a finite-dimensional hereditary algebra over an algebraically closed field k and CFm be the repetitive cluster category of H with m ≥ 1. We investigate the properties of cluster tilting objects in CFm and the structure of repetitive clustertilted algebras. Moreover, we generalize Theorem 4....

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Bibliographic Details
Published inActa mathematica scientia Vol. 32; no. 4; pp. 1449 - 1454
Main Author 张顺华 张跃辉
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2012
School of Mathematics, Shandong University, Jinan 250100, China%Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
Subjects
16G20
16G70
CFM
cluster tilting object
repetitive cluster category
repetitive cluster-tilted algebra
代数簇
代数闭域
倾斜代数
归纳定理
有限维
遗传代数
集群
repetitive cluster-tilted algebra
cluster tilting object
16G20
repetitive cluster category
16G70
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(12)60114-3

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Summary:Let H be a finite-dimensional hereditary algebra over an algebraically closed field k and CFm be the repetitive cluster category of H with m ≥ 1. We investigate the properties of cluster tilting objects in CFm and the structure of repetitive clustertilted algebras. Moreover, we generalize Theorem 4.2 in [12] （Buan A, Marsh R, Reiten I. Cluster-tilted algebra, Trans. Amer. Math. Soc. 359（1）（2007）, 323-332.） to the situation of C Fm, and prove that the tilting graph KCFm of CFm is connected.
Bibliography:repetitive cluster category; cluster tilting object; repetitive cluster-tiltedalgebra
Let H be a finite-dimensional hereditary algebra over an algebraically closed field k and CFm be the repetitive cluster category of H with m ≥ 1. We investigate the properties of cluster tilting objects in CFm and the structure of repetitive clustertilted algebras. Moreover, we generalize Theorem 4.2 in [12] （Buan A, Marsh R, Reiten I. Cluster-tilted algebra, Trans. Amer. Math. Soc. 359（1）（2007）, 323-332.） to the situation of C Fm, and prove that the tilting graph KCFm of CFm is connected.
42-1227/O
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(12)60114-3