Rigid quivers and rigid algebras

L. CAGLIERO; P. TIRAO

Enviado

Año: 2007

We define a quiver to be rigid if all the associated truncated quiver algebras are rigid.The rigidity of quivers is then determined bythe combinatorics of the set of pairs of parallel pathsof the underlying quiver as follows from Cibils' criteriafor the rigidity of truncated quiver algebras.In this paper we characterize rigid quivers $\Delta$ andrelate this characterization with the condensed quiverand the quiver of beads of $\Delta$,two much simpler quivers associated to $\Delta$.The first one a well known object and the second one introducedby us to this end.