A spin analog of the plethystic Murnaghan-Nakayama rule
arXiv:2312.13675 · doi:10.1007/s00026-023-00686-8
Abstract
As a spin analog of the plethystic Murnaghan-Nakayama rule for Schur functions, the plethystic Murnaghan-Nakayama rule for Schur -functions is established with the help of the vertex operator realization. This generalizes both the Murnaghan-Nakayama rule and the Pieri rule for Schur -functions. A plethystic Murnaghan-Nakayama rule for Hall-Littlewood functions is also investigated.
25 pages