A Skew Murnaghan-Nakayama Rule for Hopf Dual Pairs
发布时间：2026年04月23日
浏览次数：45
发布者: He Liu
主讲人： 刘宁（数学中心）
活动时间： 从 2026-04-24 15:00 到 16:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
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.
