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Another proof of the alternating sign matrix conjecture

Greg Kuperberg
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Abstract

Robbins conjectured, and Zeilberger recently proved, that there are 1!4!7!...(3n-2)!/n!/(n+1)!/.../(2n-1)! alternating sign matrices of order n. We give a new proof of this result using an analysis of the six-vertex state model (also called square ice) based on the Yang-Baxter equation.

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Greg Kuperberg. 1997-11-29. Another proof of the alternating sign matrix conjecture. https://arxiv.org/abs/math/9712207

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