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

Abstract

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 $\mathfrak{osp}(M/N)$.

20 pages, published in 1992 in the proceedings of a satellite conference of ICM 90, Kyoto