Abstract
Nous donnons des modeles combinatoires des representations lisses, complexes, generiques, non-spheriques du groupe G = PGL(2, F), ou F est un corps localement compact non-archimedien. Plus precisement nous reprenons l'etude des graphes (X k ) k≥0 inauguree dans un precedent travail. Nous montrons que de telles representations se realisent comme quotients de la cohomologie d'un graphe X k pour un k bien choisi, ou, de facon equivalente, dans un espace de formes harmoniques discretes sur un tel graphe. Pour les representations supercuspidales, ces modeles sont de plus uniques.
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More From: Annales de la Faculté des sciences de Toulouse : Mathématiques
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