Auslander Reiten Quiver of Nakayama Algebra type Dynkin Graph An

Faisal, Irawati & Intan Muchtadi-Alamsyah
 Algebra Research Group
Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung,
Jalan Ganesha 10 Bandung 40132, Indonesia
Email: ntan@math.itb.ac.id

Abstract. In this paper we will determine Auslander Reiten quiver of Nakayama algebra with quiver type Dynkin graph An for all natural number n ≥ 2. The AR-quiver is a visualization of module category of finite dimensional algebras. From the AR-quiver of an algebra A we may know all the isomorphism classes of indecomposable modules in mod A and the homomorphism between them. Once we get the general shape of the AR-quiver of this algebra, we will use it to compute a tilting module of this algebra. 

Keywords: AR-quiver; Nakayama algebra; quiver; Dynkin type A.