English

Tokuyama's Identity for Factorial Schur Functions

Combinatorics 2015-01-16 v1

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.

Keywords

Cite

@article{arxiv.1501.03561,
  title  = {Tokuyama's Identity for Factorial Schur Functions},
  author = {Angèle M. Hamel and Ronald C. King},
  journal= {arXiv preprint arXiv:1501.03561},
  year   = {2015}
}

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30 pages