Every finite-dimensional 2-step nilpotent Lie superalgebra admits pure local (anti-)superderivations that are not actual (anti-)superderivations, with extensions to n-step cases via a sufficient criterion.
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Local (Anti-)Superderivations on Nilpotent Lie Superalgebras
Every finite-dimensional 2-step nilpotent Lie superalgebra admits pure local (anti-)superderivations that are not actual (anti-)superderivations, with extensions to n-step cases via a sufficient criterion.