Capelli operators for spherical superharmonics and the Dougall-Ramanujan identity

Siddhartha Sahi, Hadi Salmasian, Vera Serganova

Let $(V,\omega )$ be an orthosympectic ${\mathbb{Z}}_2$-graded vector space and let $\mathfrak{g}:=\mathfrak{gosp}(V,\omega )$ denote the Lie superalgebra of similitudes of $(V,\omega )$. When the space…