All local and 2-local 1/2-derivations of the Witt algebra and several related infinite-dimensional Lie algebras are actually 1/2-derivations, with one explicit counter-example.
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Local and 2-local $\frac{1}2$-derivations of infinite-dimensional Lie algebras
All local and 2-local 1/2-derivations of the Witt algebra and several related infinite-dimensional Lie algebras are actually 1/2-derivations, with one explicit counter-example.