J. Korean Math. Soc. 2021; 58(4): 921-948
Online first article September 18, 2020 Printed July 1, 2021
https://doi.org/10.4134/JKMS.j200318
Copyright © The Korean Mathematical Society.
Richard A. Brualdi, Hwa Kyung Kim
University of Wisconsin; Sangmyung University
We continue the investigations in \cite{RABHK15} extending the Bruhat order on $n\times n$ 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.
Keywords: Permutation matrix, alternating sign matrix, Bruhat order
MSC numbers: 05B20, 15B48
Supported by: The second author was supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (2016R1D1A1B03930279).
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