SMOOTH REPRESENTATIONS OF GLm(D) VI : SEMISIMPLE TYPES
نویسنده
چکیده
We give a complete description of the category of smooth complex representations of the multiplicative group of a central simple algebra over a locally compact nonarchimedean local eld. More precisely, for each inertial class in the Bernstein spectrum, we construct a type and compute its Hecke algebra. The Hecke algebras that arise are all naturally isomorphic to products of a ne Hecke algebras of type A. We also prove that, for cuspidal classes, the simple type is unique up to conjugacy.
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