Would you please give some references concerning the number of indecomposable modules over preprojective algebras of type $A_n$?
More precisely, I need references about the following claim: The number of indecomposable modules over the preprojective algebra of type $A_n$ is:
only one for $n=2$$n=1$,
four for $n=3$$n=2$,
$12$ for $n=4$$n=3$,
$40$ for $n=5$$n=4$, and
an infinite number of indecomposable modules for $n\geq6$$n\geq5$.