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01053 am a22001573u 4500 |
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369697 |
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|a Aubert, Anne-Marie
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|a Baum, Paul
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|a Plymen, Roger
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|a Solleveld, Maarten
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|a On the local Langlands correspondence for non-tempered representations
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|c 2014-08-22.
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|u https://eprints.soton.ac.uk/369697/1/LLCnontempered13.pdf
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|a 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 square-integrable 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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