More on characteristic polynomials of Lie algebras
Representation Theory
2023-08-10 v1
Abstract
In recent years, the notion of characteristic polynomial of representations of Lie algebras has been widely studied. This paper provides more properties of these characteristic polynomials. For simple Lie algebras, we characterize the linearization of characteristic polynomials. Additionally, we characterize nilpotent Lie algebras via characteristic polynomials of the adjoint representation.
Keywords
Cite
@article{arxiv.2308.04618,
title = {More on characteristic polynomials of Lie algebras},
author = {Korkeat Korkeathikhun and Borworn Khuhirun and Songpon Sriwongsa and Keng Wiboonton},
journal= {arXiv preprint arXiv:2308.04618},
year = {2023}
}