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Surveys in Number Theory pp 1–13Cite as

Exploiting Symmetries Alternating Sign Matrices and the Weyl Character Formulas

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Part of the book series: Developments in Mathematics ((DEVM,volume 17))

Summary

This paper illustrates some of the power and beauty of determinantevaluations, beginning with Cauchy’s proof of the Vandermondedeterminant evaluation, continuing through the Weyldenominator formulas and some open conjectures on alternating-sign{matrices}, and ending with the Izergin–Korepin determinantexpansion for the six-vertex model with domain wall boundaryconditions.

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Authors and Affiliations

  1. Macalester College, St. Paul, MN 55105

    David M. Bressoud

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  1. David M. Bressoud
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Correspondence to David M. Bressoud .

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Bressoud, D.M. (2008). Exploiting Symmetries Alternating Sign Matrices and the Weyl Character Formulas. In: Surveys in Number Theory. Developments in Mathematics, vol 17. Springer, New York, NY. https://doi.org/10.1007/978-0-387-78510-3_3

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