Generators of simple modular Lie superalgebras

Abstract

Let $X$ be one of the finite-dimensional simple graded Lie superalgebras of Cartan type $W,S,H,K,HO,KO,SHO$ or $SKO$ over an algebraically closed field of characteristic $p>3$. In this paper we prove that $X$ can be generated by one element except the ones of type $W,$ $HO$, $KO$ or $SKO$ in certain exceptional cases, in which $X$ can be generated by two elements. As a subsidiary result, we also prove that certain classical Lie superalgebras or their relatives can be generated by one or two elements.

References in corpus (1)

• Generators of simple Lie algebras in arbitrary characteristics