  In a previous paper the authors have attached to each Dynkin quiver an
associative algebra. The definition is categorical and the algebra is used to
construct desingularizations of arbitrary quiver Grassmannians. In the present
paper we prove that this algebra is isomorphic to an algebra constructed by
Hernandez-Leclerc defined combinatorially and used to describe certain graded
Nakajima quiver varieties. This approach is used to get an explicit realization
of the orbit closures of representations of Dynkin quivers as affine quotients.
