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

Chufeng Nien

Research output: Contribution to journalArticle

11 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 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.

Original languageEnglish
Pages (from-to)653-674
Number of pages22
JournalAmerican Journal of Mathematics
Volume136
Issue number3
DOIs
Publication statusPublished - 2014 Jan 1

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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