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arXiv · 1207.3860

Generators of simple modular Lie superalgebras

Liming Tang·Wende Liu
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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.

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Liming Tang, Wende Liu. 2012-07-17. Generators of simple modular Lie superalgebras. https://doi.org/10.1142/s1005386716000365

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