Geodesic
The symmetry of the partition function of some square ice models
Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 3, pp. 309-317 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the partition function $Z(N;x_1,\dots,x_N,y_1,\dots,y_N)$ of the square ice model with domain wall boundary conditions. We give a simple proof that $Z$ is symmetric with respect to all its variables when the global parameter $a$ of the model is set to the special value $a=e^{i\pi/3}$. Our proof does not use any determinant interpretation of $Z$ and can be adapted to other situations (e.g., to some symmetric ice models).
Keywords: alternating-sign matrix, square ice model, partition function, Yang–Baxter equation. 
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J.-Ch. Aval. The symmetry of the partition function of some square ice models. Teoretičeskaâ i matematičeskaâ fizika, Tome 161 (2009) no. 3, pp. 309-317. http://geodesic.mathdoc.fr/item/TMF_2009_161_3_a0/

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