Transposed Poisson structures on not-finitely graded Witt-type algebras

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发表日期：

2024年12月17日

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Ivan Kaygorodov,
Abror Khudoyberdiyev,
Zarina Shermatova

摘要

We compute $\frac{1}{2}$ $\frac{1}{2}$ -derivations on the deformative Schrödinger–Witt algebras, on not-finitely graded Witt algebras $W_n(G)$ $W_{n} (G)$ , and on not-finitely graded Heisenberg–Witt algebras $HW_n(G)$ $H W_{n} (G)$ . We classify all transposed Poisson structures on such algebras.