# Quiver and relations for ADE singularities in dimension one

Let $$A$$ be an ADE-hypersurface singularity in dimension one. For example in Dynkin type $$A_n$$, A is given by $$K[[x,y]]/(x^2+y^{n+1})$$.

Then $$A$$ is CM-finite and let $$M$$ be the direct sum of all indecomposable maximal CM-modules of $$A$$ and $$B=\underline{End_A}(M)$$ the stable endomorphism ring of $$M$$.

Question: Is there a description by quiver and relations of $$B$$ depending on the Dynkin type somwhere?

It should be a finite dimensional quiver algebra but I was not able to find a reference for the explicit description, while in dimension two it leads to the famous preprojective algebras. Im especially interested in the cases of $$A_n$$ (there the algebra is a preprojective algebra when $$n$$ is odd?) and $$E_6$$.