A spin analog of the plethystic Murnaghan-Nakayama rule
Combinatorics
2024-06-03 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.2312.13675,
title = {A spin analog of the plethystic Murnaghan-Nakayama rule},
author = {Yue Cao and Naihuan Jing and Ning Liu},
journal= {arXiv preprint arXiv:2312.13675},
year = {2024}
}
Comments
25 pages