A Spin Analog of the Plethystic Murnaghan–Nakayama Rule

Yue Cao,Naihuan Jing, Ning Liu

Annals of Combinatorics(2024)

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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.
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关键词
Plethysm,Murnaghan–Nakayama rule,Schur Q-functions,Hall–Littlewood functions,Vertex operators
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