Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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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.

Generalized alternating sign matrices and signed permutation matrices

Richard A. Brualdi, Hwa Kyung Kim

University of Wisconsin; Sangmyung University

Abstract

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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