Artículos de revistas
Cluster Tilted Algebras with a Cyclically Oriented Quive
Fecha
2013-10Registro en:
Barot, Michael; Trepode, Sonia Elisabet; Cluster Tilted Algebras with a Cyclically Oriented Quive; Taylor ; Communications In Algebra; 41; 10; 10-2013; 3613-3628
0092-7872
CONICET Digital
CONICET
Autor
Barot, Michael
Trepode, Sonia Elisabet
Resumen
In association with a finite dimensional algebra A of global dimension two, we consider the endomorphism algebra of A, viewed as an object in the triangulated hull of the orbit category of the bounded derived category, in the sense of Amiot. We characterize the algebras A of global dimension two such that its endomorphism algebra is isomorphic to a cluster-tilted algebra with a cyclically oriented quiver. Furthermore, in the case that the cluster tilted algebra with a cyclically oriented quiver is of Dynkin or extended Dynkin type then A is derived equivalent to a hereditary algebra of the same type.