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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

The Bruhat Order of Generalized Alternating Sign Matrices and its Rank

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2024, v.31 no.2, pp.159-178
https://doi.org/10.7468/jksmeb.2024.31.2.159
Kim Hwakyung

Abstract

We continue the investigations in [7] extending the Bruhat order on n × n alternating sign matrices to a more general setting. We show that the resulting partially ordered set is a lattice and also investigate its rank.

keywords
generalized alternating sign matrix, Bruhat order.

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics