On the quiver with relations of a quasitilted algebra and applications |
| |
Authors: | Natalia Bordino Elsa Fernández |
| |
Institution: | 1. Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Mar del Plata, Argentina;2. Facultad de Ingeniería, Universidad Nacional de la Patagonia San Juan Bosco, Puerto Madryn, Argentina |
| |
Abstract: | In this paper we discuss, in terms of quiver with relations, su?cient and necessary conditions for an algebra to be a quasitilted algebra. We start with an algebra with global dimension at most two and we give a su?cient condition to be a quasitilted algebra. We show that this condition is not necessary. In the case of a strongly simply connected schurian algebra, we discuss necessary conditions, and combining both types of conditions, we are able to analyze if some given algebra is quasitilted. As an application we obtain the quiver with relations of all the tilted and cluster tilted algebras of Dynkin type Ep. |
| |
Keywords: | Bounded consecutive relations strongly simply connected tilting quasitilted |
|
|