3 papers
math.CO2026
A skew Murnaghan--Nakayama rule for Hopf dual pairs
Naihuan Jing, Ning Liu
We develop a uniform skew Murnaghan--Nakayama theory for graded Hopf dual pairs equipped with a nondegenerate Hopf pairing. Using the completed Cauchy element, its grouplike factor…
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 on Shoji's standard elements. Combined with Shoji's d…
math.RT2025
Dual Murnaghan-Nakayama rule for Hecke algebras in Type
Naihuan Jing, Ning Liu, Yu Wu
Let be the value of the irreducible character of the Hecke algebra of the symmetric group on the conjugacy class of type . The usual Murnaghan-Nakayama rule provid…