The 6 Vertex Model and Schubert Polynomials

Alain Lascoux

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arXiv · math/0610719

The 6 Vertex Model and Schubert Polynomials

Alain Lascoux

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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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Alain Lascoux. 2007-02-28. The 6 Vertex Model and Schubert Polynomials. https://arxiv.org/abs/math/0610719

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