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

Angèle M. Hamel, Ronald C. King

Abstract


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.

Keywords


symmetric functions, determinantal identities, lattice paths

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