Multiply-refined enumeration of alternating sign matrices

DOI10.1016/j.aim.2013.05.026zbMath1283.05051arXiv1203.3187OpenAlexW2084691986MaRDI QIDQ2437484

Roger E. Behrend

Publication date: 3 March 2014

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

Full work available at URL: https://arxiv.org/abs/1203.3187

zbMATH Keywords

alternating sign matricessix-vertex model with domain-wall boundary conditionsIzergin-Korepin formulaDesnanot-Jacobi identity

Mathematics Subject Classification ID

Other designs, configurations (05B30)

Related Items (11)

Diagonally and antidiagonally symmetric alternating sign matrices of odd order ⋮ Extreme diagonally and antidiagonally symmetric alternating sign matrices of odd order ⋮ A Pipe Dream Perspective on Totally Symmetric Self-Complementary Plane Partitions ⋮ Alternating sign matrices and totally symmetric plane partitions ⋮ Refined enumeration of symmetry classes of alternating sign matrices ⋮ Factorization in the multirefined tangent method ⋮ Total positivity of a Cauchy kernel ⋮ Permutation totally symmetric self-complementary plane partitions ⋮ Short proof of the ASM theorem avoiding the six-vertex model ⋮ A Generalization of Alternating Sign Matrices ⋮ Asymptotics of symmetric polynomials with applications to statistical mechanics and representation theory

Uses Software

• ROBBINS

Cites Work

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