Generalized Bump-Hoffstein conjecture for coverings of the general linear groups

被引：5

作者：

Gao, Fan ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, 150 N Univ St, W Lafayette, IN 47907 USA

来源：

JOURNAL OF ALGEBRA | 2018年 / 499卷

关键词：

Brylinski-Deligne covering groups; Theta representations; Whittaker functionals; Bump Hoffstein conjecture; Dual groups; GEOMETRIC SATAKE EQUIVALENCE; METAPLECTIC FORMS; EULER PRODUCTS; REPRESENTATIONS; UNIQUENESS; SERIES; MODELS;

D O I：

10.1016/j.jalgebra.2017.12.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the extent to which the Bump-Hoffstein conjecture could be generalized for central coverings of the general linear groups. We provide evidence for such generalized Bump-Hoffstein conjecture by proving some special cases. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：183 / 228

页数：46

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