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arXiv · 2308.04618

More on characteristic polynomials of Lie algebras

Korkeat Korkeathikhun·Borworn Khuhirun·Songpon Sriwongsa·Keng Wiboonton
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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.

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Korkeat Korkeathikhun, Borworn Khuhirun, Songpon Sriwongsa, Keng Wiboonton. 2023-08-08. More on characteristic polynomials of Lie algebras. https://arxiv.org/abs/2308.04618

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