Symmetry breaking operator for the reductive dual pair $({\mathrm{U}}_l,{\mathrm{U}}_{l^{\prime }})$

M. McKee, A. Pasquale, T. Przebinda

We consider the dual pair $(G,G^{\prime })=({\mathrm{U}}_l,{\mathrm{U}}_{l^{\prime }})$ in the symplectic group ${\mathrm{Sp}}_{2l{l}^{\prime }}(\mathbb{R})$. Fix a Weil representation of the metaplectic group $\til…