GENERALIZED ALTERNATING SIGN MATRICES AND SIGNED PERMUTATION MATRICES

被引：1

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.

引用

页码：921 / 948

页数：28

共 11 条

[1]

Behrend RE, 2007, ELECTRON J COMB, V14

[2]

Bjorner A., 2003, GRADUATE TEXTS MATH, V231

[3]

Bressoud D. M., PROOFS CONFIRMATIONS

[4] Alternating sign matrices and their Bruhat order [J].