Partial alternating sign matrix bijections and dynamics

DOI10.37236/10715arXiv2403.02242OpenAlexW4394934449MaRDI QIDQ6126442

Dylan Heuer

Publication date: 9 April 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2403.02242

zbMATH Keywords

chained alternating sign matricesfully-packed loop configuration

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Permutations, words, matrices (05A05) Combinatorics of partially ordered sets (06A07) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Cites Work

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• Sur les hypergraphes invariants
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• Chained permutations and alternating sign matrices -- inspired by three-person chess
• Homomesy in products of two chains
• Dynamical algebraic combinatorics and the homomesy phenomenon
• Dynamical Algebraic Combinatorics: Promotion, Rowmotion, and Resonance

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