Transposed Poisson structures on Virasoro-type algebras

Fuente: arXiv
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Main Authors: Kaygorodov, Ivan, Khudoyberdiyev, Abror, Shermatova, Zarina
Format: Preprint
Published: 2024
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author Kaygorodov, Ivan
Khudoyberdiyev, Abror
Shermatova, Zarina
author_facet Kaygorodov, Ivan
Khudoyberdiyev, Abror
Shermatova, Zarina
contents We compute $\frac{1}{2}$-derivations on the deformed generalized Heisenberg-Virasoro algebras and on not-finitely graded Heisenberg-Virasoro algebras $\widehat{W}_n(G)$, $\widetilde{W}_n(G)$, and $\widetilde{HW}_n(G)$. We classify all transposed Poisson structures on such algebras.
format Preprint
id arxiv_https___arxiv_org_abs_2406_15532
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Transposed Poisson structures on Virasoro-type algebras
Kaygorodov, Ivan
Khudoyberdiyev, Abror
Shermatova, Zarina
Rings and Algebras
We compute $\frac{1}{2}$-derivations on the deformed generalized Heisenberg-Virasoro algebras and on not-finitely graded Heisenberg-Virasoro algebras $\widehat{W}_n(G)$, $\widetilde{W}_n(G)$, and $\widetilde{HW}_n(G)$. We classify all transposed Poisson structures on such algebras.
title Transposed Poisson structures on Virasoro-type algebras
topic Rings and Algebras
url https://arxiv.org/abs/2406.15532