Abstract
In this article, we give the general forms of the minimal L matrix (the elements of the L-matrix are c numbers) associated with the Boltzmann weights of the An−11 interaction-round-a-face (IRF) model and the minimal representation of the An−1 series elliptic quantum group given by Felder and Varchenko. The explicit dependence of elements of L-matrices on spectral parameter z are given. They are of five different forms [A(1-4) and B]. The algebra for the coefficients (which do not depend on z) are given. The algebra of form A is proved to be trivial, while that of form B obeys Yang–Baxter equation (YBE). We also give the PBW base and the centers for the algebra of form B.
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