Factorial Schur functions via the six vertex model

2009/10/28 by Peter J. McNamara, McNamara, Peter J. · 1 citation
Mathematics · #05E05 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Random Matrices and Applications #math.CO #msc:05E05

paper · pdf · doi:10.48550/arxiv.0910.5288

7 pages

openalex publication_date 2009/10/28 · arxiv created 2009/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a particular set of Boltzmann weights and a particular boundary condition for the six vertex model in statistical mechanics, we compute explicitly the partition function and show it to be equal to a factorial Schur function, giving a new proof of a theorem of Lascoux.

Cited by

• Schur Polynomials and The Yang-Baxter Equation

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• Factorial Schur functions and the Yang-Baxter equation
• On Hamiltonians for six-vertex models
• Tokuyama's Identity for Factorial Schur Functions
• Switch Operators for the Six-Vertex Model
• Fredholm determinant representation for the partition function of the six-vertex model