Ning Liu

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math.RT2025

Murnaghan-Nakayama rule for the cyclotomic Hecke algebra and applications

Naihuan Jing, Ning Liu

We establish a Murnaghan--Nakayama rule for the irreducible characters of the cyclotomic Hecke algebra $H_{m, n} (q, u)$ on Shoji's standard elements. Combined with Shoji's d…

math.RT2025

Dual Murnaghan-Nakayama rule for Hecke algebras in Type $A$

Naihuan Jing, Ning Liu, Yu Wu

Let $χ_{μ}^{λ}$ be the value of the irreducible character $χ^{λ}$ of the Hecke algebra of the symmetric group on the conjugacy class of type $μ$ . The usual Murnaghan-Nakayama rule provid…

Murnaghan-Nakayama rule for the cyclotomic Hecke algebra and applications

Dual Murnaghan-Nakayama rule for Hecke algebras in Type A

Dual Murnaghan-Nakayama rule for Hecke algebras in Type $A$