Abstract
Let L be a Lie superalgebra over a field of characteristic different from 2, 3 and write for the Lie superalgebra consisting of superderivations mapping L to and the central elements to zero. In this paper we first give an upper bound for the superdimension of by means of linear vector space decompositions. Then we characterize the -superderivation superalgebras for the nilpotent Lie superalgebras of class 2 and the model filiform Lie superalgebras by methods of block matrices.
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