The minimal number of generators for simple Lie superalgebras

TL;DR

This paper proves that all finite-dimensional simple Lie superalgebras over an algebraically closed field of characteristic 0 can be generated by a single element, simplifying their understanding.

Contribution

It establishes that every finite-dimensional simple Lie superalgebra in characteristic zero is generated by one element, based on Kac's classification theorem.

Findings

All such Lie superalgebras are generated by one element

The proof relies on Kac's classification theorem

Simplifies the structure theory of Lie superalgebras

Abstract

Using the classification theorem due to Kac we prove that any finite dimensional simple Lie superalgebra over an algebraically closed field of characteristic 0 is generated by one element.