A correspondence for the supercuspidal representations of (SL2(F))over-bar, F p-adic

被引：1

作者：

Joyner, D ^{[1
]}

机构：

[1] USN Acad, Dept Math, Annapolis, MD 21402 USA

来源：

ARCHIV DER MATHEMATIK | 1999年 / 73卷 / 05期

关键词：

Character Relation; Supercuspidal Representation; Metaplectic Cover;

D O I：

10.1007/s000130050406

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Following D. Manderscheid, we describe the supercuspidal representations of the n-fold metaplectic cover <(SL2(F))over bar>, where F is a p-adic field with (p, 2n) = 1. We prove a ''Frobenius formula" for the character of a supercuspidal representation of <(SL2(F))over bar>. Using this formula, we obtain a character relation between corresponding supercuspidal representations of <(SL2(F))over bar> and of SL2(F) in the case n = 2.

引用

页码：332 / 340

页数：9

共 13 条

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[2] ON SHIMURA CORRESPONDENCE [J].