Differential operators for Siegel-Jacobi forms

被引：0

作者：

YANG Jiong ^{[1
]}

YIN LinSheng ^{[1
]}

机构：

[1] Department of Mathematical Sciences, Tsinghua University

来源：

Science China Mathematics | 2016年 / 59卷 / 06期

基金：

中国国家自然科学基金;

关键词：

connection; Jacobi form; differential operator;

D O I：

暂无

中图分类号：

O175.3 [微分算子理论];

学科分类号：

070104 ;

摘要：

For any positive integers n and m, H;:= H;× C;is called the Siegel-Jacobi space, with the Jacobi group acting on it. The Jacobi forms are defined on this space. We compute the Chern connection of the Siegel-Jacobi space and use it to obtain derivations of Jacobi forms. Using these results, we construct a series of invariant differential operators for Siegel-Jacobi forms. Also two kinds of Maass-Shimura type differential operators for H;are obtained.

引用

页码：1029 / 1050

页数：22

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