Abstract
This paper deals with Leibniz superalgebras [Formula: see text] whose even part is a simple Lie algebra [Formula: see text]. We describe all such Leibniz superalgebras when odd part is an irreducible Leibniz bi-module on [Formula: see text]. We show that there exist such Leibniz superalgebras with nontrivial odd part only in case of [Formula: see text]
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