Enumerations of half-turn-symmetric alternating-sign matrices of odd order

DOI10.1007/s11232-006-0111-8zbMath1177.15041arXivmath-ph/0504022OpenAlexW3044829600MaRDI QIDQ1047029

Yu. G. Stroganov, A. V. Razumov

Publication date: 3 January 2010

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0504022

zbMATH Keywords

enumerationsalternating-sign matricessquare-ice model

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Hermitian, skew-Hermitian, and related matrices (15B57) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (15)

Diagonally and antidiagonally symmetric alternating sign matrices of odd order ⋮ Three-coloring statistical model with domain wall boundary conditions: trigonometric limit ⋮ Extreme diagonally and antidiagonally symmetric alternating sign matrices of odd order ⋮ A one-parameter refinement of the Razumov-Stroganov correspondence ⋮ Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions ⋮ The six-vertex model and deformations of the Weyl character formula ⋮ Multiply-refined enumeration of alternating sign matrices ⋮ Half-turn symmetric alternating sign matrices and Tokuyama type factorisation for orthogonal group characters ⋮ Off-shell Bethe states and the six-vertex model ⋮ The symmetry of the partition function of some square ice models ⋮ Exact asymptotics of the characteristic polynomial of the symmetric Pascal matrix ⋮ Short proof of the ASM theorem avoiding the six-vertex model ⋮ Unnamed Item ⋮ Enumeration of quarter-turn-symmetric alternating-sign matrices of odd order ⋮ Vertex models and spin chains in formulas and pictures

Cites Work

• Unnamed Item
• Calculation of norms of Bethe wave functions
• Izergin-Korepin determinant at a third root of unity
• Determinants and alternating sign matrices
• Symmetry classes of alternating-sign matrices under one roof
• Enumeration of symmetry classes of alternating sign matrices and characters of classical groups

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