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A spin analog of the plethystic Murnaghan-Nakayama rule

Published 21 Dec 2023 in math.CO and math.QA | (2312.13675v1)

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.

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Authors (3)

  1. Yue Cao 
  2. Naihuan Jing 
  3. Ning Liu 

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