REPRESENTATION THEORY AND RELATED TOPICS SEMINAR

ABSTRACT: Given any direct graph E and a field K, one may construct the Leavitt path algebra of E with coefficients in K. Since their introduction in 2005, Leavitt path algebras have been deeply studied and various structural properties of these algebras  have been discovered. In particular, it turns out that they are perfect localization of path algebras. Nevertheless, the investigation of their module category is still at an early stage. In this talk we focus on the structure of the simple, projective and injective modules over certain classes of Leavitt path algebras, presenting results which are part of a joint project with Gene Abrams and AlbertoTonolo.                                                                                                                    .