A Skew Murnaghan-Nakayama Rule for Hopf Dual Pairs
Time: 2026-04-23
Published By: He Liu
Speaker(s): Ning Liu (BICMR)
Time: 15:00-16:00 April 24, 2026
Venue: Room 77201, Jingchunyuan 78, BICMR
The Murnaghan--Nakayama rule is an iterative formula for computing the irreducible characters of symmetric groups, introduced in the 1930s. Since then, a long series of generalizations and variants of this formula has been developed. In this talk, I will present a uniform skew Murnaghan--Nakayama rule for graded Hopf dual pairs equipped with a nondegenerate Hopf pairing. I will explain how this framework recovers and extends the classical skew Murnaghan--Nakayama rule in symmetric function theory. If time permits, I will also sketch the main ideas of the proof.
