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- TitleOn the local Langlands correspondence for non-tempered representations
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- Is part ofMünster Journal of Mathematics, Issue Münster Journal of Mathematics, page 27-50
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- LanguageEnglish
- Document typeJournal Article
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Abstract
Let G be a reductive p-adic group. We study how a local Langlands correspondence for irreducible tempered G-representations can be extended to a local Langlands correspondence for all irreducible smooth representations of G. We prove that, under a natural condition involving compatibility with unramified twists, this is possible in a canonical way. To this end we introduce analytic R-groups associated to non-tempered essentially squareintegrable representations of Levi subgroups of G. We establish the basic properties of these new R-groups, which generalize Knapp–Stein R-groups.
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