Shifted tableaux, Schur’s Q functions, and Kronecker products of Sn spin irreps

1990 ◽  
Vol 31 (6) ◽  
pp. 1310-1314
Author(s):  
M. A. Salam ◽  
B. G. Wybourne
Keyword(s):  
Kronecker Products ◽  
Shifted Tableaux

scholarly journals Kronecker Products of sn-Characters in Hooks

2001 ◽  
Vol 246 (1) ◽  
pp. 356-366 ◽  
Author(s):  
Allan Berele ◽  
Tom D Imbo
Keyword(s):  
Kronecker Products

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

10.37236/4971 ◽  
2015 ◽  
Vol 22 (2) ◽  
Author(s):  
Angèle M. Hamel ◽  
Ronald C. King
Keyword(s):  
Partition Function ◽  
Lattice Paths ◽  
Schur Function ◽  
Vertex Model ◽  
Shifted Tableaux

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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