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Local Langlands correspondence for GLn and the exterior and symmetric square ε-factors

Local Langlands correspondence for GLn and the exterior and symmetric square ε-factors

Let F be a p-adic field, that is, a finite extension of Qp for some prime p. The local Langlands correspondence (LLC) attaches to each continuous n-dimensional Φ-semisimple representation ρ of W'F, the Weil–Deligne group for F¯/F, an irreducible admissible representation π(ρ) of GLn(F) such that, among other things, the …