# One-Parameter Families of Indecomposable Representations of the Preprojective Algebra of type A5

Consider the preprojective algebra of type $A_n$. It is well known that this algebra is of finite representation type when $n<5$, of tame representation type when $n=5$, and of wild representation type when $n>5$. In particular, this means that there exists a family of indecomposable representations of the preprojective algebra of type $A_5$ which depends on a continuous parameter. I was wondering if anyone knew of an explicit example of such a family. Any examples of two-parameter families in type $A_n$ for $n>5$ would be also helpful.

• I decided to add a tag to bump this since I specifically would like to see a proof that the A_6 preprojective algebra is of wild representation type. – Peter McNamara May 29 '14 at 23:58
• And a two-parameter A6 example has been given at mathoverflow.net/questions/202259 by Jeremy Rickard. (I wonder what happened to the tag I apparenly added - I'll try again) – Peter McNamara Apr 11 '15 at 12:16