Howe duality and dichotomy for exceptional theta correspondences
نویسندگان
چکیده
We study three exceptional theta correspondences for p-adic groups, where one member of the dual pair is group $$G_2$$ . prove Howe duality conjecture these pairs and a dichotomy theorem, determine explicitly lifts all non-cuspidal representations.
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ژورنال
عنوان ژورنال: Inventiones Mathematicae
سال: 2022
ISSN: ['0020-9910', '1432-1297']
DOI: https://doi.org/10.1007/s00222-022-01165-2