Another proof of the alternating sign matrix conjecture

Details Another proof of the alternating sign matrix conjecture Another proof of the alternating sign matrix conjecture

1997-11-29

arxiv.org/abs/math/9712207v1

Internat. Math. Res. Notices, 1996(3):139-150, 1996

Mathematics

Combinatorics

10 pages

Scientific paper

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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