Generators of simple modular Lie superalgebras
Rings and Algebras
2018-08-01 v1
Abstract
Let be one of the finite-dimensional simple graded Lie superalgebras of Cartan type or over an algebraically closed field of characteristic . In this paper we prove that can be generated by one element except the ones of type , or in certain exceptional cases, in which 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.
Keywords
Cite
@article{arxiv.1207.3860,
title = {Generators of simple modular Lie superalgebras},
author = {Liming Tang and Wende Liu},
journal= {arXiv preprint arXiv:1207.3860},
year = {2018}
}