On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self - Complementary Plane Partitions

Tiago Fonseca, Paul Zinn-Justin

Type: Article

Publication Date: 2008-06-13

Citations: 26

DOI: https://doi.org/10.37236/805

Abstract

We prove the equality of doubly refined enumerations of Alternating Sign Matrices and of Totally Symmetric Self-Complementary Plane Partitions using integral formulae originating from certain solutions of the quantum Knizhnik–Zamolodchikov equation.

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The Electronic Journal of Combinatorics - View - PDF
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+	Another proof of the alternating sign matrix conjecture	1997	Greg Kuperberg
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+	Alternating sign matrices and descending plane partitions	1983	W. H. Mills David P. Robbins Howard Rumsey
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+ PDF Chat	Calculation of norms of Bethe wave functions	1982	V. E. Korepin
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