All Supercuspidal Representations of SLℓ over a P-Adic Field are Induced
Let F be a p-adic field (a finite extension of Dp ), and let G = GLn (F). Then, it is predicted by Langlands that the set of n-dimensional representations of the absolute Weil group WF of F should parameterize naturally the admissible, irreducible (nonspecial) representations of G, and that, in particular, the irreducible, n-dimensional representations of WF should correspond under this parameterization to the irreducible supercuspidal representations of G.
KeywordsIrreducible Representation Irreducible Component Cartan Subgroup Cuspidal Representation Compact Open Subgroup
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