Factorial Schur functions via the six vertex model

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.

7 pages

Cited by in corpus (6)

• Factorial Schur functions and the Yang-Baxter equation
• Multiply-refined enumeration of alternating sign matrices
• Tokuyama's Identity for Factorial Schur Functions
• Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions
• Schur Polynomials and the Yang-Baxter equation
• Integrable models and $K$-theoretic pushforward of Grothendieck classes