A multiparametric Murnaghan-Nakayama rule for Macdonald polynomials

DOI10.1016/j.jcta.2024.105920zbMATH Open1543.33014MaRDI QIDQ6566001

Ning Liu, Naihuan Jing

Publication date: 3 July 2024

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

Murnaghan-Nakayama ruleMacdonald polynomials\(\lambda\)-rings\((q, t)\)-Kostka polynomials\((q, t)\)-binomial coefficients\((q, t)\)-Green polynomials

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Symmetric functions and generalizations (05E05) Representations of finite symmetric groups (20C30) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Symmetric groups (20B30)

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