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We give a new realization of the prefundamental representations   $L^\pm _{r,a}$   introduced by Hernandez and Jimbo, when the quantum loop algebra   $U_q(\mathfrak {g})$   is of types   $A_n^{(1)}$   and   $D_n^{(1)}$   and the   $r$  -th fundamental weight   $\varpi _r$   for types   $A_n$   and   $D_n$   is minuscule. We define an action of the Borel subalgebra   $U_q(\mathfrak {b})$   of   $U_q(\mathfrak {g})$   on the unipotent quantum coordinate ring associated to the translation by   $-\varpi _r$   and show that it is isomorphic to   $L^\pm _{r,a}$  . We then give a combinatorial realization of   $L^+_{r,a}$   in terms of the Lusztig data of the dual PBW vectors.

Unipotent Quantum Coordinate Ring and Prefundamental Representations for Types A n (1) and D n (1)