CLUSTER-TILTED ALGEBRAS AND THEIR INTERMEDIATE COVERINGS

被引：16
|
作者：
Zhu, Bin [1 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 07期
关键词：
Cluster-tilted algebras; Cluster tilting objects (subcategories); Coverings; Repetitive cluster categories; TRIANGULATED CATEGORIES; MUTATION;
D O I：
10.1080/00927872.2010.489082
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The intermediate coverings of cluster-tilted algebras are constructed from the repetitive cluster categories which are defined in this article. These repetitive cluster categories are Calabi-Yau triangulated categories with fractional CY-dimension and have also cluster tilting objects. Furthermore, we show that the representations of these intermediate coverings of cluster-tilted algebras are induced from the repetitive cluster categories.
引用
收藏
页码：2437 / 2448
页数：12
相关论文
共 50 条
  • [1] SPECIAL BISERIAL CLUSTER-TILTED ALGEBRAS
    Babaei, Fedra
    Grimeland, Yvonne
    COMMUNICATIONS IN ALGEBRA, 2014, 42 (06) : 2740 - 2758
  • [2] From iterated tilted algebras to cluster-tilted algebras
    Barot, Michael
    Fernandez, Elsa
    Ines Platzeck, Maria
    Isabel Pratti, Nilda
    Trepode, Sonia
    ADVANCES IN MATHEMATICS, 2010, 223 (04) : 1468 - 1494
  • [3] REPETITIVE CLUSTER-TILTED ALGEBRAS
    Zhang Shunhua
    Zhang Yuehui
    ACTA MATHEMATICA SCIENTIA, 2012, 32 (04) : 1449 - 1454
  • [4] Extending silted algebras to cluster-tilted algebras
    Gao, Hanpeng
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (09)
  • [5] Open Frobenius Cluster-Tilted Algebras
    Gubitosi, Viviana
    ALGEBRA COLLOQUIUM, 2022, 29 (01) : 1 - 22
  • [6] τ-TILTING FINITE CLUSTER-TILTED ALGEBRAS
    Zito, Stephen
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2020, 63 (04) : 950 - 955
  • [7] τ-Rigid modules from tilted to cluster-tilted algebras
    Zito, Stephen
    COMMUNICATIONS IN ALGEBRA, 2019, 47 (09) : 3716 - 3734
  • [8] COUNTING CLUSTER-TILTED ALGEBRAS OF TYPE A(n)
    Torkildsen, Hermund Andre
    INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2008, 4 : 149 - 158
  • [9] The self-injective cluster-tilted algebras
    Ringel, Claus Michael
    ARCHIV DER MATHEMATIK, 2008, 91 (03) : 218 - 225
  • [10] The self-injective cluster-tilted algebras
    Claus Michael Ringel
    Archiv der Mathematik, 2008, 91 : 218 - 225
12345