Realization of irreducible unitary representations of $\mathfrak{osp}(M/N;\mathbb{R})$ on Fock spaces

Kyo Nishiyama, Hirotoshi Furutsu

We classify irreducible super unitary representations of an orthosymplectic Lie superalgebra $\mathfrak{osp}(M/N;\mathbb{R})$ using the notion of super dual pairs in $ \mathfra…