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arXiv · 2004.00109

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

Julien Gaboriaud·Luc Vinet
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Abstract

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

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Julien Gaboriaud, Luc Vinet. 2020-03-17. A Howe correspondence for the algebra of the $\mathfrak{osp}(1|2)$ Clebsch-Gordan coefficients. https://doi.org/10.1016/j.physleta.2020.126746

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