A proof of the finite field analogue of Jacquet's conjecture

Chufeng Nien

doi:10.1353/ajm.2014.0020

A proof of the finite field analogue of Jacquet's conjecture

Chufeng Nien

Department of Mathematics

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

18 Citations (Scopus)

Abstract

In this paper, the proof of the finite-field-analogue of Jacquet's conjecture on local converse theorem for cuspidal representations of general linear groups is given. More precisely, the set of twisted gamma factors of π, together with a central character ω_π, determine uniquely (up to isomorphism) the irreducible cuspidal representation π of GL_n (F_q), where G_t denotes the set of irreducible generic representations of GL_t(F_q), and F_q denotes a finite field of q elements.

Original language	English
Pages (from-to)	653-674
Number of pages	22
Journal	American Journal of Mathematics
Volume	136
Issue number	3
DOIs	https://doi.org/10.1353/ajm.2014.0020
Publication status	Published - 2014 Jan 1

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.1353/ajm.2014.0020

Cite this

@article{40707a44deb94f648584b356b02e2662,

title = "A proof of the finite field analogue of Jacquet's conjecture",

abstract = "In this paper, the proof of the finite-field-analogue of Jacquet's conjecture on local converse theorem for cuspidal representations of general linear groups is given. More precisely, the set of twisted gamma factors of π, together with a central character ωπ, determine uniquely (up to isomorphism) the irreducible cuspidal representation π of GLn (Fq), where Gt denotes the set of irreducible generic representations of GLt(Fq), and Fq denotes a finite field of q elements.",

author = "Chufeng Nien",

year = "2014",

month = jan,

day = "1",

doi = "10.1353/ajm.2014.0020",

language = "English",

volume = "136",

pages = "653--674",

journal = "American Journal of Mathematics",

issn = "0002-9327",

publisher = "Johns Hopkins University Press",

number = "3",

}

TY - JOUR

T1 - A proof of the finite field analogue of Jacquet's conjecture

AU - Nien, Chufeng

PY - 2014/1/1

Y1 - 2014/1/1

N2 - In this paper, the proof of the finite-field-analogue of Jacquet's conjecture on local converse theorem for cuspidal representations of general linear groups is given. More precisely, the set of twisted gamma factors of π, together with a central character ωπ, determine uniquely (up to isomorphism) the irreducible cuspidal representation π of GLn (Fq), where Gt denotes the set of irreducible generic representations of GLt(Fq), and Fq denotes a finite field of q elements.

AB - In this paper, the proof of the finite-field-analogue of Jacquet's conjecture on local converse theorem for cuspidal representations of general linear groups is given. More precisely, the set of twisted gamma factors of π, together with a central character ωπ, determine uniquely (up to isomorphism) the irreducible cuspidal representation π of GLn (Fq), where Gt denotes the set of irreducible generic representations of GLt(Fq), and Fq denotes a finite field of q elements.

UR - http://www.scopus.com/inward/record.url?scp=84901394486&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84901394486&partnerID=8YFLogxK

U2 - 10.1353/ajm.2014.0020

DO - 10.1353/ajm.2014.0020

M3 - Article

AN - SCOPUS:84901394486

SN - 0002-9327

VL - 136

SP - 653

EP - 674

JO - American Journal of Mathematics

JF - American Journal of Mathematics

IS - 3

ER -

A proof of the finite field analogue of Jacquet's conjecture

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this