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- W33972971 abstract "Resume Soit F un corps local non archimedien, soit D une F-algebre a division et soit G le groupe GL m ( D ) , avec m ⩾ 1 . Dans cet article, nous poursuivons le travail entrepris dans [V. Secherre, Representations lisses de GL ( m , D ) , I : caracteres simples, Bull. Soc. Math. France 132 (3) (2004) 327–396] et [V. Secherre, Representations lisses de GL ( m , D ) , II : β-extensions, Compositio Math. 141 (2005) 1531–1550] visant a generaliser les resultats dus a Bushnell et Kutzko [C.J. Bushnell, P.C. Kutzko, The Admissible Dual of GL ( N ) via Compact Open Subgroups, Princeton University Press, Princeton, NJ, 1993] concernant le groupe deploye GL n ( F ) . Pour tout entier r ⩾ 1 divisant m, et pour certaines representations lisses irreductibles supercuspidales Π 0 de G 0 = GL m / r ( D ) , nous construisons un type pour la classe inertielle [ G 0 r , Π 0 ⊗ r ] G . Nous determinons la structure de son algebre de Hecke qui, comme dans le cas deploye, est une algebre de Hecke affine de type A r − 1 ." @default.
- W33972971 created "2016-06-24" @default.
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- W33972971 date "2005-11-01" @default.
- W33972971 modified "2023-10-16" @default.
- W33972971 title "Représentations lisses de GLm(D)GLm(D), III : types simples" @default.
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- W33972971 doi "https://doi.org/10.1016/j.ansens.2005.10.003" @default.
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