A Spin Analog of the Plethystic Murnaghan–Nakayama Rule

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发表日期：

2024年2月6日

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Yue Cao,
Naihuan Jing,
Ning Liu

摘要

As a spin analog of the plethystic Murnaghan–Nakayama rule for Schur functions, the plethystic Murnaghan–Nakayama rule for Schur Q-functions is established with the help of the vertex operator realization. This generalizes both the Murnaghan–Nakayama rule and the Pieri rule for Schur Q-functions. A plethystic Murnaghan–Nakayama rule for Hall–Littlewood functions is also investigated.