The algebra of the coefficients in the minimal representation of the A(n-1)
quantum group, discussed by Felder and Varchenko, is given in this paper.
Those coefficients are associated with the Boltzmann weights of A(n-1)((1))
interaction-round-a-face model. We show that the algebra satisfies the Yan
g-Baxter equation. The PBW base for this algebra is also given.