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Klyachko periods for Zelevinsky modules
Journal article   Peer reviewed

Klyachko periods for Zelevinsky modules

Omer Offen and Eitan Sayag
The Ramanujan journal, Vol.49(3), pp.545-553
08/15/2019

Abstract

11F70 Combinatorics Distinguished representations Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Klyachko models Mathematics Number Theory Symplectic periods
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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