Half-integral weight modular forms and modular forms for Weil representations

被引：1

作者：

Zhang, Yichao ^{[1
,2
]}

机构：

[1] Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China

[2] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

MANUSCRIPTA MATHEMATICA | 2020年 / 163卷 / 3-4期

关键词：

Primary: 11F37; 11F30; 11F27; AUTOMORPHIC-FORMS; ZAGIER DUALITY; COEFFICIENTS;

D O I：

10.1007/s00229-019-01169-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish an isomorphism between certain complex-valued and vector-valued modular form spaces of half-integral weight, generalizing the well-known isomorphism between modular forms for Gamma(0)(4) with Kohnen's plus condition and modular forms for the Weil representation associated to the latticewith Gram matrix (2). With such an isomorphism, we prove the Zagier duality and express the Borcherds lifts in the case of O(2, 1) explicitly.

引用

页码：507 / 536

页数：30

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