Representations of the Lie Superalgebra $\mathfrak{osp}(1|2n)$ with Polynomial Bases

Asmus K. Bisbo, Hendrik De Bie, Joris Van der Jeugt

We study a particular class of infinite-dimensional representations of $\mathfrak{osp}(1|2n)$. These representations $L_n(p)$ are characterized by a positive integer $p$, and are t…