1. Q-Kostka polynomials and spin Green polynomials.
- Author
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Jiang, Anguo, Jing, Naihuan, and Liu, Ning
- Abstract
We study the Q-Kostka polynomials L λ μ (t) by the vertex operator realization of the Q-Hall–Littlewood functions G λ (x ; t) and derive new formulae for L λ μ (t) . In particular, we have established stability property for the Q-Kostka polynomials. We also introduce spin Green polynomials Y μ λ (t) as both an analogue of the Green polynomials and deformation of the spin irreducible characters of S n . Iterative formulas of the spin Green polynomials are given and some favorable properties parallel to the Green polynomials are obtained. Tables of Y μ λ (t) are included for n ≤ 7. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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