A poset \(\Phi_{n}\) whose maximal chains are in bijection with the \(n\times n\) alternating sign matrices

DOI10.1016/j.laa.2018.05.024zbMath1392.05021arXiv1710.04733OpenAlexW2807238397MaRDI QIDQ725508

Paul M. Terwilliger

Publication date: 1 August 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04733

zbMATH Keywords

dihedral groupmaximal chainalternating sign matrix

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Matrices of integers (15B36) Group actions on combinatorial structures (05E18) Sign pattern matrices (15B35)

Related Items (3)

De Finetti lattices and magog triangles ⋮ Weak order and descents for monotone triangles ⋮ Alternating sign matrices: extensions, König-properties, and primary sum-sequences

Cites Work

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• A unifying poset perspective on alternating sign matrices, plane partitions, Catalan objects, tournaments, and tableaux
• The alternating sign matrix polytope
• Alternating sign matrices and descending plane partitions
• Lattices and bases of Coxeter groups
• Alternating sign matrices and their Bruhat order

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