Abstract
We prove that the loop Heisenberg-Virasoro Lie algebra possesses non-trivial $\frac{1}{2}$-derivations, but it does not admit any non-trivial transposed Poisson algebra structures. Furthermore, we demonstrate that this algebra has a non-trivial Hom-Lie algebra structure.
Citation
Yang Yang. Xiaomin Tang. "Transposed Poisson structures on loop Heisenberg-Virasoro Lie algebra." Bull. Belg. Math. Soc. Simon Stevin 31 (2) 238 - 249, july 2024. https://doi.org/10.36045/j.bbms.231222
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