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arxiv: 1711.02984 · v2 · pith:4KW3MGVYnew · submitted 2017-11-08 · 🧮 math-ph · math.MP· nlin.SI

Remarks on A⁽¹⁾_n face weights

classification 🧮 math-ph math.MPnlin.SI
keywords facemodeltrigonometricweightsboltzmanncontextcorrespondingelementary
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Elementary proofs are presented for the factorization of the elliptic Boltzmann weights of the $A^{(1)}_n$ face model, and for the sum-to-1 property in the trigonometric limit, at a special point of the spectral parameter. They generalize recent results obtained in the context of the corresponding trigonometric vertex model.

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