p-ADIC INTERPOLATION OF METAPLECTIC FORMS OF COHOMOLOGICAL TYPE

被引：0

作者：

Hill, Richard ^{[1
]}

Loeffler, David ^{[2
]}

机构：

[1] UCL, Dept Math, London WC1E 6BT, England

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

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2012年 / 8卷 / 07期

关键词：

Metaplectic forms; p-adic interpolation; eigenvarieties; MODULAR-FORMS; REPRESENTATIONS; DISTRIBUTIONS; CONSTRUCTION;

D O I：

10.1142/S1793042112500960

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a reductive group over a number field k. It is shown how Emerton's methods may be applied to the problem of p-adically interpolating the metaplectic forms on G, i.e. the automorphic forms on metaplectic covers of G, as long as the metaplectic covers involved split at the infinite places of k.

引用

页码：1613 / 1660

页数：48

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