Rigid quivers and rigid algebras

被引：0

作者：

Cagliero, Leandro ^{[1
]}

Tirao, Paulo ^{[1
]}

机构：

[1] Univ Nacl Cordoba, CIEM FaMAF, RA-5000 Cordoba, Argentina

来源：

JOURNAL OF ALGEBRA | 2008年 / 320卷 / 07期

关键词：

deformations of algebras; combinatorics of quivers; Hochschild cohomology of truncated quiver algebras;

D O I：

10.1016/j.jalgebra.2008.05.034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a quiver to be rigid if all the associated truncated quiver algebras are rigid. The rigidity of quivers is then determined by the combinatorics of the set of pairs of parallel paths of the underlying quiver as follows from Cibils' criteria for the rigidity of truncated quiver algebras. In this paper we characterize rigid quivers Delta and relate this characterization with the condensed quiver and the quiver of beads of Delta, two much simpler quivers associated to Delta. The first one is a well-known object and the second one is introduced by us to this end. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：2827 / 2846

页数：20