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Two descriptions of the dual $-1$ Hahn algebra are presented and shown to berelated under Howe duality. The dual pair involved is formed by the Lie algebra$\mathfrak{o}(4)$ and the Lie superalgebra $\mathfrak{osp}(1|2)$.

A Howe correspondence for the algebra of the $\mathfrak{osp}(1|2)$ Clebsch-Gordan coefficients