On the doubly refined enumeration of alternating sign matrices and totally symmetric self-complementary plane partitions

被引：0

作者：

Fonseca, Tiago ^{[2
]}

Zinn-Justin, Paul ^{[1
,2
]}

机构：

[1] Univ Paris 11, CNRS, UMR 8626, LPTMS, F-91405 Orsay, France

[2] Univ Paris 06, CNRS, UMR 7589, LPTHE, F-75252 Paris, France

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2008年 / 15卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页数：35

共 31 条

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Pronko, AG
ADVANCES IN APPLIED MATHEMATICS, 2005, 34 (04) : 798 - 811
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JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2006,
[23] (-1)-enumeration of self-complementary plane partitions -: art. no. R7
Eisenkölbl, T
ELECTRONIC JOURNAL OF COMBINATORICS, 2005, 12 (01):
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[27] Enumeration of quarter-turn-symmetric alternating-sign matrices of odd order
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Theoretical and Mathematical Physics, 2006, 149 : 1639 - 1650
[28] Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions
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JOURNAL OF COMBINATORIAL THEORY SERIES A, 2019, 165 : 78 - 105
[29] A unifying poset perspective on alternating sign matrices, plane partitions, Catalan objects, tournaments, and tableaux
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ADVANCES IN APPLIED MATHEMATICS, 2011, 46 (1-4) : 583 - 609
[30] Geometry of totally symmetric plane partitions (TSPPs) with self-conjugate main diagonal
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UTILITAS MATHEMATICA, 2012, 88 : 223 - 235

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