Tokuyama's Identity for Factorial Schur $P$ and $Q$ Functions

  • Angèle M. Hamel
  • Ronald C. King
Keywords: symmetric functions, determinantal identities, lattice paths


A recent paper of Bump, McNamara and Nakasuji introduced a factorial version of Tokuyama's identity, expressing the partition function of  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-interesecting lattice paths.
Article Number