Transposed Poisson structures on $$$\mathfrak{osp}(1,2)$$$

V. López Solı́s

doi:10.15421/242606

Transposed Poisson structures on $$$\mathfrak{osp}(1,2)$$$

V. López Solı́s (Barranca National University), https://orcid.org/0000-0001-5969-5853

Abstract

In this article, we describe transposed Poisson superalgebra structures on the 5-dimensional orthosymplectic Lie superalgebra $$$\mathfrak{osp}(1,2)$$$ in characteristic 3. Specifically, we demonstrate that on $$$\mathfrak{osp}(1,2)$$$, there is only trivial transposed Poisson structure.

Keywords

transposed Poisson superalgebra; orthosymplectic Lie superalgebra; $$$\delta$$$-derivation

MSC 2020

17A30; 17B40; 17B60; 17B63

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References

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