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A spin analog of the plethystic Murnaghan-Nakayama rule
Preprint
21 December 2023
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Abstract
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.