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Représentations lisses de GLm(D) IV : représentations supercuspidales

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Abstract

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.

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Original languageEnglish
Pages (from-to)527-574
Number of pages48
JournalJournal of the Institute of Mathematics of Jussieu
Volume7
Issue number03
DOIs
Publication statusPublished - 2008
Peer-reviewedYes

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