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arxiv: 1501.03561 · v1 · pith:HUBVBXEQnew · submitted 2015-01-15 · 🧮 math.CO

Tokuyama's Identity for Factorial Schur Functions

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keywords factorialfunctionidentityschurtokuyamabumpexploitingexpressing
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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.

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