Two-generation of traceless matrices over finite fieldsCantor, Omer (Avtor) Jezernik, Urban (Avtor) Zozaya, Andoni (Avtor) generationsimple Lie algebrasfinite fieldsWe prove that the Lie algebra $\mathfrak{sl}_n(\textbf{F}_q)$ of traceless matrices over a finite field of characteristic $p$ can be generated by $2$ elements with exceptions when $(n, p)$ is $(3, 3)$ or $(4,2)$. In the latter cases, we establish curious identities that obstruct $2$-generation.20252025-05-20 10:15:19Članek v reviji169235UDK: 512ISSN pri članku: 0024-3795DOI: 10.1016/j.laa.2025.02.023COBISS_ID: 228710147sl