Geodesic
The higher spin generalization of the 6-vertex model with domain wall boundary conditions and Macdonald polynomials
Journal of Algebraic Combinatorics, Tome 41 (2015) no. 3, pp. 843-866.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

The determinantal form of the partition function of the $6$-vertex model with domain wall boundary conditions was given by Izergin. It is known that for a special value of the crossing parameter the partition function reduces to a Schur polynomial. Caradoc, Foda and Kitanine computed the partition function of the higher spin generalization of the $6$-vertex model. In the present work, it is shown that for a special value of the crossing parameter, referred to as the combinatorial point, the partition function reduces to a Macdonald polynomial.
Classification : 82B23, 82B20
Keywords: higher spin six-vertex model, domain wall boundary conditions, combinatorial point, Macdonald polynomial 
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     title = {The higher spin generalization of the 6-vertex model with domain wall boundary conditions and {Macdonald} polynomials},
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Fonseca, Tiago; Balogh, Ferenc. The higher spin generalization of the 6-vertex model with domain wall boundary conditions and Macdonald polynomials. Journal of Algebraic Combinatorics, Tome 41 (2015) no. 3, pp. 843-866. http://geodesic.mathdoc.fr/item/JAC_2015__41_3_a3/