Camacho Santana, Luisa MaríaNavarro, R. M.2021-07-022021-07-022021Camacho Santana, L.M. y Navarro, R.M. (2021). On Leibniz Superalgebras with Even Part Corresponding to sl2. Algebras and Representation Theory, 24 (3), 783-798.1386-923Xhttps://hdl.handle.net/11441/115035In this paper we describe finite-dimensional complex Leibniz superalgebras whose even part is the simple Leibniz algebra corresponding to sl2, i.e. its quotient algebra with respect to the Leibniz kernel I is isomorphic to sl2.We classify these Leibniz superalgebras in several cases with arbitrary dimensions in which the odd part is essentially a Leibniz irreducible (sl2 + I)-module or a finite direct sum of them.application/pdf16engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Leibniz superalgebraLie superalgebrasIrreducible moduleSimple Leibniz algebrainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/s10468-020-09968-8