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

preprint2022arXivOpen access

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

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

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

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