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The many faces of alternating-sign matrices

James Propp
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Abstract

I give a survey of different combinatorial forms of alternating-sign matrices, starting with the original form introduced by Mills, Robbins and Rumsey as well as corner-sum matrices, height-function matrices, three-colorings, monotone triangles, tetrahedral order ideals, square ice, gasket-and-basket tilings and full packings of loops.

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James Propp. 2002-08-15. The many faces of alternating-sign matrices. https://arxiv.org/abs/math/0208125

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