Howe duality for the dual pair $\left(\text{SpO}(2n|1),\mathfrak{osp}(2|2)\right)$

Roman Lavicka, Allan Merino

The goal of our work is to study the decomposition of the joint action of $\mathcal{G}=\text{SpO}(2n|1)$ and ${\mathfrak{g}}^{\prime }=\mathfrak{osp}(2|2)$ on the supersymmetric algebra $…