On the modular Plesken Lie algebra
Representation Theory
2024-06-21 v1
Abstract
Let G be a finite group. The Plesken Lie algebra L[G] is a subalgebra of the complex group algebra C[G] and admits a direct-sum decomposition into simple Lie algebras based on the ordinary character theory of G. In this paper we review the known results on L[G] and related Lie algebras, as well as introduce a conjecture on a characteristic p analog L_p[G], with a focus on when p divides the order of G.
Cite
@article{arxiv.2406.14493,
title = {On the modular Plesken Lie algebra},
author = {John Cullinan},
journal= {arXiv preprint arXiv:2406.14493},
year = {2024}
}