Metaplectic Casselman–Shalika conjecture
Let GGG be the reductive group with coweight lattice Λ\LambdaΛ, let Λ♯,+\Lambda^{\sharp,+}Λ♯,+ be the dominant metaplectic coweights, and let γ∈Λ♯,+\gamma\in\Lambda^{\sharp,+}γ∈Λ♯,+ and…