GENERALIZED ALTERNATING SIGN MATRICES AND SIGNED PERMUTATION MATRICES

被引：0
|
作者：
Brualdi, Richard A. [1 ]
Kim, Hwa Kyung [2 ]
机构：
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[2] Sangmyung Univ, Dept Math Educ, Seoul 03016, South Korea
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2021年 / 58卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
Permutation matrix; alternating sign matrix; Bruhat order;
D O I：
10.4134/JKMS.j200318
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We continue the investigations in [6] extending the Bruhat order on n x n alternating sign matrices to our more general setting. We show that the resulting partially ordered set is a graded lattice with a well-define rank function. Many illustrative examples are given.
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页码：921 / 948
页数：28
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