More on characteristic polynomials of Lie algebras

Journal article

Authors/Editors

SONGPON SRIWONGSA

Strategic Research Themes

Digital Transformation (Strategic Research Themes)

Publication Details

Author list: Korkeathikhun K.; Khuhirun B.; Sriwongsa S.; Wiboonton K.

Publisher: Elsevier

Publication year: 2024

Journal: Journal of Algebra (0021-8693)

Volume number: 643

Start page: 294

End page: 310

Number of pages: 17

ISSN: 0021-8693

eISSN: 1090-266X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85182749948&doi=10.1016%2fj.jalgebra.2023.12.024&partnerID=40&md5=31c76357a2a3ed79e8e243f43b2648ec

Languages: English-Great Britain (EN-GB)

View on publisher site

Abstract

In recent years, the notion of characteristic polynomials 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

Characteristic polynomials, Characters, Nilpotent Lie algebras, Simple Lie algebras