Quiver representations for Leavitt Path algebras as talented monoid classification detour.

Abstract

There is a correspondence between quiver representations and path algebras. In this talk, we will see Leavitt Path algebras as a special case for such representation and how it will take a role in its classifications in relation to classifications in talented monoids. This is a compilation of joint works with Roozbeh Hazrat, Wolfgang Bock, and Jocelyn P. Vilela.