English

Transposed Poisson structures on Witt-type algebras

Rings and Algebras 2024-05-21 v1

Abstract

We compute 12\frac{1}{2}-derivations on the deformative Schr\"{o}dinger-Witt algebra, on not-finitely graded Witt algebras Wn(G)W_n(G), and on not-finitely graded Heisenberg-Witt algebra HWn(G)HW_n(G). We classify all transposed Poisson structures on such algebras.

Keywords

Cite

@article{arxiv.2405.11108,
  title  = {Transposed Poisson structures on Witt-type algebras},
  author = {Ivan Kaygorodov and Abror Khudoyberdiyev and Zarina Shermatova},
  journal= {arXiv preprint arXiv:2405.11108},
  year   = {2024}
}
R2 v1 2026-06-28T16:31:31.639Z