Explicit formulas for Eigenvalues of Capelli operators for the Lie superalgebra $\mathfrak{osp}(1|2n)$

Dene Lepine

We define a natural basis for the algebra of $\mathfrak{gosp}(1|2n)$-invariant differential operators on the affine superspace ${\mathbb{C}}^{1|2n}$. We prove that these operators lie in…