The Langlands classification is a fundamental result in representation theory and the theory of automorphic forms. It gives a bijective correspondence between irreducible admissible representations of a connected reductive group G and triples of Langlands data. It was proved by Langlands for real groups [L]. The proof for p-adic groups is due to Borel and Wallach [BoW], Silberger [Si], and Konno [Ko]. We consider the p-adic case, so let G denote a connected reductive p-adic group. Let (P, v, τ) be a set of Langlands data in the subrepresentation setting of the Langlands classification.
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