From iterated tilted algebras to cluster-tilted algebras

被引：20

作者：

Barot, Michael ^{[2
]}

Fernandez, Elsa ^{[3
]}

Ines Platzeck, Maria ^{[1
]}

Isabel Pratti, Nilda ^{[4
]}

Trepode, Sonia ^{[4
]}

机构：

[1] Univ Nacl Sur, Inst Matemat, RA-8000 Bahia Blanca, Buenos Aires, Argentina

[2] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico

[3] Univ Nacl Patagonia San Juan Bosco, Fac Ingn, RA-9120 Puerto Madryn, Argentina

[4] Univ Nacl Mar del Plata, Dept Matemat, Fac Ciencias Exactas & Nat, RA-7600 Mar Del Plata, Argentina

来源：

ADVANCES IN MATHEMATICS | 2010年 / 223卷 / 04期

关键词：

Cluster-tilted algebras; Iterated tilted algebras; Relation extensions; TRIVIAL EXTENSIONS; FINITE-TYPE; QUIVER;

D O I：

10.1016/j.aim.2009.10.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the relationship between iterated tilted algebras and cluster-tilted algebras and relation extensions is studied. In the Dynkin case, it is shown that the relationship is very strong and combinatorial. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1468 / 1494

页数：27

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