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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 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…
math.RT2023★ 3 cited
Murnaghan-Nakayama rule and spin bitrace for the Hecke-Clifford Algebra
Naihuan Jing, Ning Liu
A Pfaffian-type Murnaghan-Nakayama rule is derived for the Hecke-Clifford algebra based on the Frobenius formula and vertex operators, and this leads to a combina…