Journal
SELECTA MATHEMATICA-NEW SERIES
Volume 22, Issue 4, Pages 2347-2400Publisher
SPRINGER INT PUBL AG
DOI: 10.1007/s00029-016-0281-7
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Funding
- Minerva Foundation [711733]
- ANR ArShiFo [ANR-BLAN-0114, MTM2010-19298, P12-FQM-2696]
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We give new criteria for the irreducibility of parabolic induction on the general linear group and its inner forms over a local non-archimedean field. In particular, we give a necessary and sufficient condition when the inducing data is of the form where is a ladder representation and is an arbitrary irreducible representation. As an application we simplify the proof of the classification of the unitary dual.
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