The Bruhat rank of a binary symmetric staircase pattern

Open Mathematics

da Fonseca Carlos M.¹  Du Zhibin² 

[1] Department of Mathematics, Kuwait University, Safat 13060, Kuwait;School of Mathematics and Statistics, Zhaoqing University, Zhaoqing 526061, Guangdong, China;

关键词: permutation matrix;    bruhat order;    bruhat shadow;    bruhat rank;    inversion;    05b20;    06a07;    15a36;   

DOI  :  10.1515/math-2016-0079

来源: DOAJ

【 摘 要 】

In this work we show that the Bruhat rank of a symmetric (0,1)-matrix of order n with a staircase pattern, total support, and containing In, is at most 2. Several other related questions are also discussed. Some illustrative examples are presented.

【 授权许可】

Unknown