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{10_37236_4971,
author = {Ang\`ele M. Hamel and Ronald C. King},
title = {Tokuyama's identity for factorial {Schur} {\(P\)} and {\(Q\)} functions},
journal = {The electronic journal of combinatorics},
year = {2015},
volume = {22},
number = {2},
doi = {10.37236/4971},
zbl = {1319.05137},
url = {http://geodesic.mathdoc.fr/articles/10.37236/4971/}
}
TY - JOUR
AU - Angèle M. Hamel
AU - Ronald C. King
TI - Tokuyama's identity for factorial Schur \(P\) and \(Q\) functions
JO - The electronic journal of combinatorics
PY - 2015
VL - 22
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/4971/
DO - 10.37236/4971
ID - 10_37236_4971
ER -
%0 Journal Article
%A Angèle M. Hamel
%A Ronald C. King
%T Tokuyama's identity for factorial Schur \(P\) and \(Q\) functions
%J The electronic journal of combinatorics
%D 2015
%V 22
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/4971/
%R 10.37236/4971
%F 10_37236_4971
Angèle M. Hamel; Ronald C. King. Tokuyama's identity for factorial Schur \(P\) and \(Q\) functions. The electronic journal of combinatorics, Tome 22 (2015) no. 2. doi: 10.37236/4971
