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Remarks on \(\boldsymbol {A^{(1)}_n}\) Face Weights

  • Atsuo Kuniba
Chapter
Part of the MATRIX Book Series book series (MXBS, volume 2)

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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Notes

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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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Atsuo Kuniba
    • 1
  1. 1.Institute of PhysicsUniversity of TokyoKomaba, TokyoJapan

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