SUR LES PAQUETS D'ARTHUR DE CONTENANT DES MODULES UNITAIRES DE plus HAUT POIDS, SCALAIRES

Let π be an irreducible unitary highest weight module for G = Sp(2n; R). We would like to determine the Arthur packets containing π. When the highest weight is scalar, we determine the Arthur parameter of these packets, we establish the multiplicity one property of π in the packet and we compute the character ρπ (of the group of connected components of the centralizer of in the dual group) associated to π which plays an important role in Arthur's theory. We also deal with the case of some unipotent unitary highest weight modules σn,k, or when the infinitesimal character is regular.