扩展薛定谔-维拉索罗代数和原始变形薛定谔-维拉索罗代数上的变换泊松结构

arXiv - MATH - Rings and Algebras Pub Date : 2024-08-26 DOI:arxiv-2408.14160

Zarina Shermatova

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引用次数: 0

摘要

我们计算了扩展施罗丁格-维拉索罗代数和原始变形施罗丁格-维拉索罗代数的 1/2 衍射。扩展的薛定谔-维拉索罗代数既没有非难的1/2派生，也没有非难的转置泊松代数结构。我们证明了原始变形的薛定谔-维拉索罗代数具有非rivial1/2派生，表明它们具有非rivial转置泊松结构。

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Transposed Poisson structures on the extended Schrödinger-Virasoro and the original deformative Schrödinger-Virasoro algebras

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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arXiv - MATH - Rings and Algebras

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