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The 6 vertex model and schubert polynomials

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (2007) 3
DOI: 10.3842/SIGMA.2007.029
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Abstract

We enumerate staircases with fixed left and right columns. These objects correspond to ice-configurations, or alternating sign matrices, with fixed top and bottom parts. The resulting partition functions are equal, up to a normalization factor, to some Schubert polynomials.

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Lascoux, A. (2007). The 6 vertex model and schubert polynomials. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 3. https://doi.org/10.3842/SIGMA.2007.029

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