June 21, 2024Open Access

Transposed Poisson structures on Virasoro-type algebras

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Resumen

We compute 12-derivations on the deformed generalized Heisenberg-Virasoro algebras and on not-finitely graded Heisenberg-Virasoro algebras Wₙ (G), Wₙ (G), and HWₙ (G). We classify all transposed Poisson structures on such algebras.

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Cite This Study

Kaygorodov et al. (Fri,) studied this question.

synapsesocial.com/papers/68e63e20b6db6435875cfba9 https://doi.org/https://doi.org/10.48550/arxiv.2406.15532

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4Transposed Poisson structure on the Witt-type algebra $\mathcal{W}(a,-1)$: Derivations, Automorphisms, and Rota--Baxter operators2026
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