1/2 -superderivation and transposed Poisson structures on the super Heisenberg-Virasoro algebra

Yang Yang, Xiaomin Tang

Abstract


Transposed Poisson structures on the super Heisenberg-Virasoro algebra are investigated. It has been proven that the super Heisenberg-Virasoro algebra does notadmit non-trivial 1/22 -superderivations, and consequently it does not possess non-trivial transposed Poisson structures.

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