Klyachko periods for Zelevinsky modules

Klyachko periods for Zelevinsky modules

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 Klyac...

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Veröffentlicht in:The Ramanujan journal 2019-08, Vol.49 (3), p.545-553
Hauptverfasser: Offen, Omer, Sayag, Eitan
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorics
Field Theory and Polynomials
Fourier Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
Number Theory
Representations
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Zusammenfassung: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.
ISSN:1382-4090
1572-9303
DOI:10.1007/s11139-018-0040-9