Irreducibility criteria for local and global representations

Hiro Aki Narita; Ameya Pitale; Ralf Schmidt

doi:10.1090/S0002-9939-2012-11438-8

Irreducibility criteria for local and global representations

Hiro Aki Narita^*, Ameya Pitale, Ralf Schmidt

^*Corresponding author for this work

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

12 Citations (Scopus)

Abstract

It is proved that certain types of modular cusp forms generate irreducible automorphic representations of the underlying algebraic group. Analogous Archimedean and non-Archimedean local statements are also given.

Original language	English
Pages (from-to)	55-63
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	141
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-2012-11438-8
Publication status	Published - 2012
Externally published	Yes

Keywords

Automorphic representation
Hecke eigenvector
Representation over local fields

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-2012-11438-8

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title = "Irreducibility criteria for local and global representations",

abstract = "It is proved that certain types of modular cusp forms generate irreducible automorphic representations of the underlying algebraic group. Analogous Archimedean and non-Archimedean local statements are also given.",

keywords = "Automorphic representation, Hecke eigenvector, Representation over local fields",

author = "Narita, {Hiro Aki} and Ameya Pitale and Ralf Schmidt",

year = "2012",

doi = "10.1090/S0002-9939-2012-11438-8",

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AU - Narita, Hiro Aki

AU - Pitale, Ameya

AU - Schmidt, Ralf

PY - 2012

Y1 - 2012

N2 - It is proved that certain types of modular cusp forms generate irreducible automorphic representations of the underlying algebraic group. Analogous Archimedean and non-Archimedean local statements are also given.

AB - It is proved that certain types of modular cusp forms generate irreducible automorphic representations of the underlying algebraic group. Analogous Archimedean and non-Archimedean local statements are also given.

KW - Automorphic representation

KW - Hecke eigenvector

KW - Representation over local fields

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U2 - 10.1090/S0002-9939-2012-11438-8

DO - 10.1090/S0002-9939-2012-11438-8

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SN - 0002-9939

VL - 141

SP - 55

EP - 63

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 1

ER -

Irreducibility criteria for local and global representations

Abstract

Keywords

ASJC Scopus subject areas

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