A note on corollaries to Tokuyama's Identity for symplectic Schur Q-Functions

2015/09/30 by Angèle M. Hamel, Hamel, Angèle M., Ronald C. King +1
Mathematics · #05E05 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:05E05

paper · pdf · doi:10.48550/arxiv.1509.09251

A brief note deriving corollaries of some of our previous work; 15 pages

arxiv created 2015/09/30 · arxiv updated 2015/10/01

Abstract

We present some corollaries to a symplectic primed shifted tableaux version of Tokuyama's identity expressed in terms of other combinatorial constructs, namely generalised U-turn alternating sign matrices and strict symplectic Gelfand-Tsetlin patterns.

Related

• Tokuyama's Identity for Factorial Schur Functions
• Intermediate symplectic Q-functions
• A Generalization of Tokuyama's Formula to the Hall-Littlewood Polynomials
• Bijective Proofs of Shifted Tableau and Alternating Sign Matrix Identities
• U-turn Alternating Sign Matrices, Symplectic Shifted Tableaux and Their Weighted Enumeration