ON THE JACQUET CONJECTURE ON THE LOCAL CONVERSE PROBLEM FOR p-ADIC GLN

被引：8

作者：

Adrian, Moshe ^{[1
]}

Liu, Baiying ^{[2
]}

Stevens, Shaun ^{[3
]}

Xu, Peng ^{[4
]}

机构：

[1] CUNY Queens Coll, Dept Math, Queens, NY 11367 USA

[2] Inst Adv Study, Sch Math, Einstein Dr, Princeton, NJ 08540 USA

[3] Univ E Anglia, Sch Math, Norwich Res Pk, Norwich NR4 7TJ, Norfolk, England

[4] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England

来源：

REPRESENTATION THEORY | 2016年 / 20卷

基金：

美国国家科学基金会; 英国工程与自然科学研究理事会;

关键词：

Local converse problem; special pairs of Whittaker functions; SUPERCUSPIDAL REPRESENTATIONS;

D O I：

10.1090/ert/476

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on previous results of Jiang, Nien and the third-named author, we prove that any two minimax unitarizable supercuspidals of p-adic GL(N) that have the same depth and central character admit a special pair of Whittaker functions. As a corollary of our result, we prove Jacquet's conjecture on the local converse problem for GL(N), when N is prime.

引用

页码：1 / 13

页数：13

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