On Jacobi sums arising from the classical doubling method

Calvin Yost-Wolff, Elad Zelingher

We define the notion of a non-abelian Jacobi sum ${\mathcal{J}}^{\mathrm{dbl}}\left(\ddot{I}€,\ddot{I}‡\right)$ attached to an irreducible representation $\ddot{I}€$ of a general linear group or a class…