On the generators of Lie superalgebras
Any finite-dimensional semisimple Lie algebra \(G\) over a field of characteristic zero is generated by two elements --- this result was first proved in 1949, but appears to be not commonly known [see \textit{T. Ionescu}, Linear Algebra Appl. 15, 271--292 (1976; Zbl 0358.17014), or the first author and \textit{F. Silva Leite}, ibid. 119, 51--56 (1989; Zbl 0676.17006)]. In the present paper, the methods of Ionescu are used to show that any classical simple Lie superalgebra (with nontrivial odd part) over an algebraically closed field of characteristic zero can be generated by only one single element.
scientific article; zbMATH DE number 167832