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math.CO2025
Groups with pairings, Hall modules, and Hall-Littlewood polynomials
Jiahe Shen, Roger Van Peski
We relate the combinatorics of Hall-Littlewood polynomials to that of abelian -groups with alternating or Hermitian perfect pairings. Our main result is an analogue of the class…
math.CO2014
A Generalization of Tokuyama's Formula to the Hall-Littlewood Polynomials
Vineet Gupta, Uma Roy, Roger Van Peski
A theorem due to Tokuyama expresses Schur polynomials in terms of Gelfand-Tsetlin patterns, providing a deformation of the Weyl character formula and two other classical results, S…