Another proof of the alternating sign matrix conjecture
Combinatorics
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/9712207,
title = {Another proof of the alternating sign matrix conjecture},
author = {Greg Kuperberg},
journal= {arXiv preprint arXiv:math/9712207},
year = {2007}
}
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10 pages