Schur $Q$-functions and the Capelli eigenvalue problem for the Lie superalgebra $\mathfrak{q}(n)$

Alexander Alldridge, Siddhartha Sahi, Hadi Salmasian

Let $\mathfrak{l}:=\mathfrak{q}(n)\times \mathfrak{q}(n)$, where $\mathfrak{q}(n)$ denotes the queer Lie superalgebra. The associative superalgebra $V$ of type $Q(n)$ has a left and ri…