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：
英国工程与自然科学研究理事会; 美国国家科学基金会;
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.
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页码：1 / 13
页数：13
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