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