Transposed δ-Poisson (super)algebra Structures on the Virasoro-like algebra and its Kantor Lie-double

We undertake a study of transposed δ-Poisson (super)algebra structures on the Virasoro-like algebra and its Kantor Lie-double – the latter being constructed via Kantor’s procedure. This work leads to the finding that, whereas non-trivial δ-derivations exist solely at δ=1, non-trivial transposed δ-Poisson (super)algebra structures are entirely absent.