Klyachko periods for Zelevinsky modules

Omer Offen; Eitan Sayag

doi:10.1007/s11139-018-0040-9

Klyachko periods for Zelevinsky modules

Omer Offen, Eitan Sayag

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	545-553
Number of pages	9
Journal	Ramanujan Journal
Volume	49
Issue number	3
DOIs	https://doi.org/10.1007/s11139-018-0040-9
State	Published - 15 Aug 2019

Keywords

Distinguished representations
Klyachko models
Symplectic periods

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s11139-018-0040-9

Cite this

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title = "Klyachko periods for Zelevinsky modules",

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.",

keywords = "Distinguished representations, Klyachko models, Symplectic periods",

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AU - Offen, Omer

AU - Sayag, Eitan

PY - 2019/8/15

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N2 - 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.

AB - 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.

KW - Distinguished representations

KW - Klyachko models

KW - Symplectic periods

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DO - 10.1007/s11139-018-0040-9

M3 - Article

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JO - Ramanujan Journal

JF - Ramanujan Journal

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Klyachko periods for Zelevinsky modules

Abstract

Keywords

ASJC Scopus subject areas

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