Ning Liu

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math.RT2026

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

Naihuan Jing, Ning Liu, Yu Wu

Let $I ¨ ^{I^} »_{I^} ¼$ be the value of the irreducible character $I ¨ ^{I^} »$ of the Hecke algebra of the symmetric group on the conjugacy class of type $I^¼$ . The usual Murnaghan-Nakayama rule…

math.RT2026

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…

Dual Murnaghan-Nakayama rule for Hecke algebras in Type A

Murnaghan-Nakayama rule for the cyclotomic Hecke algebra and applications

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