lecture series by
Raquel Coelho Simoes
Lancaster University
March 14-25, 2022
Abstract:
In this lecture series, we will consider representation theory of
finite dimensional algebras, which can be reduced to the study of
representations over quotients of algebras generated by paths of a
quiver. We will give an introduction to Auslander-Reiten theory,
which gives us a way to visualise the representation theory of a
finite dimensional algebra using a quiver, called the
Auslander-Reiten quiver, where the vertices and the arrows
correspond to the “building blocks” of the modules over the
algebra (i.e. indecomposable modules) and of the morphisms between
them (i.e. irreducible morphisms), respectively.