Irreducible characters of the generalized symmetric group
Representation Theory
2025-12-02 v2 Combinatorics
Group Theory
Abstract
The paper studies how to compute irreducible characters of the generalized symmetric group by iterative algorithms. After reproving the Ariki-Koike version of the Murnaghan-Nakayama rule by vertex algebraic methods, we formulate a new iterative formula for characters of the generalized symmetric group. As applications, we find a numerical relation between the character values of and modular characters of .
Keywords
Cite
@article{arxiv.2408.04921,
title = {Irreducible characters of the generalized symmetric group},
author = {Huimin Gao and Naihuan Jing},
journal= {arXiv preprint arXiv:2408.04921},
year = {2025}
}
Comments
24 pages; code appended. Updated references