Abstract
We show existence, uniqueness and disjointness of Klyachko periods for certain induced representations associated by Zelevinsky to every irreducible representation of a general linear group over a non-archimedean local field. As a consequence, for every irreducible representation that admits a Klyachko period we prescribe its Klyachko type.
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Notes
This section is based on the results of [5] where we assumed that F is of characteristic different then two. This restriction was not necessary and we freely use the results for any non-archimedean field.
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Offen, O., Sayag, E. Klyachko periods for Zelevinsky modules. Ramanujan J 49, 545–553 (2019). https://doi.org/10.1007/s11139-018-0040-9
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DOI: https://doi.org/10.1007/s11139-018-0040-9