COMPARING BUSHNELL-KUTZKO AND SÉCHERRE'S CONSTRUCTIONS OF TYPES FOR GL_N AND ITS INNER FORMS WITH YU'S CONSTRUCTION
Résumé
Let F be a non-archimedean local field, A be a central simple F-algebra, and G be the multiplicative group of A. To construct types for supercuspidal representations of G, simple types by Sécherre and Yu's construction are already known. In this paper, we compare these constructions. In particular, we show essentially tame supercuspidal representations of G defined by Bushnell-Henniart are nothing but tame supercuspidal representations defined by Yu.
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