Every quasi-derivation of the Witt and Virasoro algebras is a derivation plus a half-derivation, and all quasi-derivations of W(a,b) are explicitly listed, with the corollary that every W(a,b) admits a nontrivial transposed delta-Poisson structure.
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Quasi-derivations of Witt and related algebras
Every quasi-derivation of the Witt and Virasoro algebras is a derivation plus a half-derivation, and all quasi-derivations of W(a,b) are explicitly listed, with the corollary that every W(a,b) admits a nontrivial transposed delta-Poisson structure.