(Elsevier, 2025-05-17) Cantor, Omer; Jezernik, Urban; Zozaya, Andoni; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika
We prove that the Lie algebra sln(Fq) 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.
