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.
- Distinguished representations
- Klyachko models
- Symplectic periods
ASJC Scopus subject areas
- Algebra and Number Theory