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

2024/08/26 by Zarina Shermatova, Shermatova, Zarina
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.2408.14160

Abstract

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

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