Tokuyama's Identity for Factorial Schur Functions

Abstract

A recent paper of Bump, McNamara and Nakasuji introduced a factorial version of Tokuyama's identity, expressing the partition function of a six vertex model as the product of a t-deformed Vandermonde and a Schur function. Here we provide an extension of their result by exploiting the language of primed shifted tableaux, with its proof based on the use of non-intersecting lattice paths.

30 pages

References in corpus (2)

• Factorial Schur functions via the six vertex model
• The 6-vertex model and deformations of the Weyl character formula

Cited by in corpus (1)

• Partition functions of integrable lattice models and combinatorics of symmetric polynomials