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arXiv · 2408.14160

Transposed Poisson structures on the extended Schr\"odinger-Virasoro and the original deformative Schr\"odinger-Virasoro algebras

Zarina Shermatova
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Abstract

We compute 1/2-derivations on the extended Schr\"odinger-Virasoro algebras and the original deformative Schr\"odinger-Virasoro algebras. The extended Schr\"odinger-Virasoro algebras have neither nontrivial 1/2-derivations nor nontrivial transposed Poisson algebra structures. We demonstrate that the original deformative Schr\"odinger-Virasoro algebras have nontrivial 1/2-derivations, indicating that they possess nontrivial transposed Poisson structures.

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Zarina Shermatova. 2024-08-26. Transposed Poisson structures on the extended Schr\"odinger-Virasoro and the original deformative Schr\"odinger-Virasoro algebras. https://arxiv.org/abs/2408.14160

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