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Tokuyama's Identity for Factorial Schur Functions

Authors :
Hamel, Angèle M.
King, Ronald C.
Publication Year :
2015

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.<br />Comment: 30 pages

Subjects

Subjects :
Mathematics - Combinatorics
05E05

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1501.03561
Document Type :
Working Paper