  Root vectors in quantum groups (of finite type) generalize to fused currents
in quantum loop groups ([5]). In the present paper, we construct fused currents
as duals to specialization maps of the corresponding shuffle algebras ([7,8,9])
in types ADE. Both root vectors and fused currents depend on a convex order of
the positive roots, and the choice we make in the present paper is that of the
Auslander-Reiten order ([24]) corresponding to an orientation of the type ADE
Dynkin diagram.
