Transposed Poisson structures on Virasoro-type algebras

Ivan Kaygorodov; Abror Khudoyberdiyev; Zarina Shermatova

Transposed Poisson structures on Virasoro-type algebras

Rings and Algebras 2024-06-25 v1

Authors: Ivan Kaygorodov , Abror Khudoyberdiyev , Zarina Shermatova

Abstract

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.

Keywords

poisson algebras poisson geometry deformation theory

Cite

@article{arxiv.2406.15532,
  title  = {Transposed Poisson structures on Virasoro-type algebras},
  author = {Ivan Kaygorodov and Abror Khudoyberdiyev and Zarina Shermatova},
  journal= {arXiv preprint arXiv:2406.15532},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2405.11108; text overlap with arXiv:2401.04443 by other authors

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