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Let F be a non Archimedean locally compact field and let D be a central F-division algebra. We prove that any positive level supercuspidal irreducible representation of the group GLm(D) is compactly induced from a representation of a compact mod center open subgroup of GLm(D). More precisely, we prove that such representations contain a maximal simple type.
|Number of pages||48|
|Journal||Journal of the Institute of Mathematics of Jussieu|
|Publication status||Published - 2008|
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