The Auslander-Reiten Quiver of the 2-Kronecker Algebra II – Dokuz Eylül University Faculty of Science Department of Mathematics

İrem Yıldız, Dokuz Eylül University.
Date: 17th of January, 2023, Tuesday, Time: 13:30 – 15:30.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206 (Online-Sakai-Graduate Meetings).

Abstract: The Auslander-Reiten quiver of a finite dimensional $k$ -algebra $A$ is the quiver whose vertices are the isoclasses of indecomposable modules over $A$ , and the number of arrows between two vertices $[M]$ , $[N]$ is given by the $k$ -dimension of Irr $_{A}(M,N)$ .
In this talk, we will review some basic facts about almost split sequences and explain briefly how to construct them. Our aim is to construct the Auslander-Reiten quiver of the path algebra associated to the 2-Kronecker quiver.