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

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...

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Published in:The Electronic journal of combinatorics 2015-06, Vol.22 (2)
Main Authors: Hamel, Angèle M., King, Ronald C.
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Language:English
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King, Ronald C.
description 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.
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title Tokuyama's Identity for Factorial Schur $P$ and $Q$ Functions
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