代数表示型的判定

Judgement of Representation Type of an Algbra

确定一个代数的表示型是代数表示论中的主要任务之一．本文给出了无限表示型代数的某些判定方法，通过一个代数的ＡｕｓｌａｎｄｅｒＲｅｉｔｅｎ箭图的某个分支上仅仅一小部分的一些特性来推断该代数的表示型．

Judgement of representation type of an algebra is an important task in representation theory of algebras.In this paper, We give some methods on judging infinite representation type, which can obtained by using only a small part of certain component in the Auslander Reiten quiver of an algebra.