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

Naihuan Jing, Ning Liu, Yu Wu

Let ${\chi }_{\mu }^{\lambda }$ be the value of the irreducible character ${\chi }^{\lambda }$ of the Hecke algebra of the symmetric group on the conjugacy class of type $\mu$. The usual Murnaghan-Nakayama rule provid…