Paramètres de Langlands et Algèbres d'entrelacement

Mathematics – Representation Theory

Scientific paper

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15 pages; a few minor and one more confusing misprint corrected thanks to an unknown referee

Scientific paper

Let G be a classical p-adic group and $(\psi ,\epsilon)$ the Langlands
parameter of an irreducible supercuspidal representation of a Levi subgroup of
G. Using data from $(\psi ,\epsilon)$, we determine explicitly the intertwining
algebra of the representation which is induced from the orbit of the
supercuspidal representation associated to $(\psi ,\epsilon)$.

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