Zhibin Du, Carlos M. da Fonseca: On the Bruhat rank of a Boolean F-matrix, 43-49

Abstract:

A factorizable matrix or F-matrix is a square matrix which is obtained from the product of particular $2\times 2$ and $3\times 3$ block partitioned matrices. One of the main features of these matrices is they are always cospectral, for any ordering of the factors. In this note we evaluate the Bruhat rank of a Boolean F-matrix.

Key Words: Boolean matrix, F-matrix, Bruhat shadow, Bruhat rank.

2010 Mathematics Subject Classification: Primary 15A23; Secondary 15A23, 15A57, 15A48, 05B20, 06A07, 15A36.