논문KCI 등재
Generalized alternating sign matrices and signed permutation matrices
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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.
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.
참고문헌 (11)
- R. E. Behrend, "Higher spin alternating sign matrices", Electron. J. Combin, 14(1), pp.38~ (2007)
- A. Bjorner, "Combinatorics of Coxeter Groups" (2003), Springer
- D. M. Bressoud, "Proofs and Confirmations, MAA Spectrum" (1999), Mathematical Association of America
- Richard A. Brualdi, "Alternating sign matrices, extensions and related cones", Advances in Applied Mathematics, 86, pp.19~49 (2017), Elsevier BV[DOI]
- Richard A. Brualdi, "Patterns of alternating sign matrices", Linear Algebra and its Applications, 438(10), pp.3967~3990 (2013), Elsevier BV[DOI]
- Richard A. Brualdi, "A Generalization of Alternating Sign Matrices", Journal of Combinatorial Designs, 23(5), pp.204~215 (2015), Wiley[DOI]
- Richard A. Brualdi, "Alternating sign matrices and their Bruhat order", Discrete Mathematics, 340(8), pp.1996~2019 (2017), Elsevier BV[DOI]
- Zachary Hamaker, "Weak order and descents for monotone triangles", European Journal of Combinatorics, 86, pp.103083~ (2020), Elsevier BV[DOI]
- A. Lascoux, "Treillis et bases des groupes de Coxeter, Electron", J. Combin, 3(2), pp.35~ (1996)
- W.H Mills, "Alternating sign matrices and descending plane partitions", Journal of Combinatorial Theory, Series A, 34(3), pp.340~359 (1983), Elsevier BV[DOI]
- J. Propp, "The many faces of alternating-sign matrices, in Discrete models: combinatorics, computation, and geometry", Discrete Math. Theor. Comput. Sci. Proc., AA (2001), Maison Inform. Math. Discret. (MIMD)
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