Abstract
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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Acknowledgements
The author thanks Masato Okado for discussion. This work is supported by Grants-in-Aid for Scientific Research No. 15K13429 from JSPS.
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Kuniba, A. (2019). Remarks on \(\boldsymbol {A^{(1)}_n}\) Face Weights. In: de Gier, J., Praeger, C., Tao, T. (eds) 2017 MATRIX Annals. MATRIX Book Series, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-030-04161-8_13
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DOI: https://doi.org/10.1007/978-3-030-04161-8_13
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