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On the set of maximal nilpotent supports of supercuspidal representations

On the set of maximal nilpotent supports of supercuspidal representations

Let G be a quasisplit reductive group over a p-adic field k, T a maximal unramified anisotropic torus of G.k/, and a character of T.k/ satisfying certain conditions.Assume the residue characteristic p of k is large enough.It was shown by DeBacker and Reeder that the irreducible supercuspidal representation of G.k/ …