Param\`etres de Langlands et Alg\`ebres d'entrelacement

Abstract

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 $(\psi ,\epsilon)$.