Three alternating sign matrix identities in search of bijective proofs

DOI10.1006/aama.2001.0735zbMath0990.05002arXivmath/0007114OpenAlexW1981159158WikidataQ114234247 ScholiaQ114234247MaRDI QIDQ5956767

David M. Bressoud

Publication date: 8 August 2002

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0007114

zbMATH Keywords

determinanttournamentalternating sign matrixsix vertex modelsquare ice model

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Directed graphs (digraphs), tournaments (05C20)

Related Items (3)

Bijective proofs of shifted tableau and alternating sign matrix identities ⋮ Multiply-refined enumeration of alternating sign matrices ⋮ Alternating sign matrices and tournaments

Uses Software

• ROBBINS

Cites Work

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• Alternating sign matrices and some deformations of Weyl's denominator formulas
• The story of 1,2,7,42,429,7436,..
• Determinants and alternating sign matrices
• Square-ice enumeration
• Proof of the refined alternating sign matrix conjecture
• Dodgon's determinant-evaluation rule proved by TWO-TIMING MEN and WOMEN
• Alternating sign matrices and tournaments

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