CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Rigid quivers and rigid algebras
Autor/es:
L. CAGLIERO; P. TIRAO
Revista:
JOURNAL OF ALGEBRA
Editorial:
Elsevier
Referencias:
Año: 2008 vol. 320 p. 2827 - 2846
ISSN:
0021-8693
Resumen:
The rigidity of truncated quiver algebras was characterized by Cibilsin terms of the combinatorics of the set of pairs of parallel pathsof the underlying quiver.In this paper we study systematically this combinatorics and provideeasier criteria for rigidity.To a given quiver we associate to it its quiver of gems and prove thatone is rigid if and only if the other one is rigid.We present examples of exponential families of rigid quivers and rigid algebrasin any dimension.