A Spin Analog of the Plethystic Murnaghan-Nakayama Rule

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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