Some local-global non-vanishing results of theta lifts for symplectic-orthogonal dual pairs

被引：7

作者：

Takeda, Shuichiro ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2011年 / 657卷

关键词：

HARISH-CHANDRA MODULES; P-ADIC GROUPS; REPRESENTATIONS; FORMS; JACQUET; GSP(4);

D O I：

10.1515/CRELLE.2011.053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Following the approach of B. Roberts, we characterize the non-vanishing of the global theta lift for symplectic-orthogonal dual pairs in terms of its local counterpart. In particular, we replace the temperedness assumption present in Robert's work by a certain weaker assumption, and apply our results to small rank similitude groups. Among our applications is a certain instance of Langlands functorial transfer of a (non-generic) cuspidal automorphic representation of GSp(4) to GL(4).

引用

页码：81 / 111

页数：31