Linear periods for unitary representations
نویسندگان
چکیده
Let F be a local non-Archimedean field of characteristic zero with finite residue field. Based on Tadić’s classification the unitary dual $${\mathrm {GL}}_{2n}(F)$$ , we classify irreducible representations that have nonzero linear periods, in terms Speh periods. We also give necessary and sufficient condition for existence period representation.
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2022
ISSN: ['1432-1823', '0025-5874']
DOI: https://doi.org/10.1007/s00209-022-03136-y