Rankin-Cohen Deformations and Representation Theory

被引：0

作者：

Yijun YAO ^{[1
]}

机构：

[1] School of Mathematical Sciences, Fudan University

来源：

Chinese Annals of Mathematics(Series B) | 2014年 / 35卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Modular forms; Rankin-Cohen brackets; Representation theory; Rankin-Cohen deformation;

D O I：

暂无

中图分类号：

O153.3 [环论];

学科分类号：

070104 ;

摘要：

The author uses the unitary representation theory of SL2(R) to understand the Rankin-Cohen brackets for modular forms. Then this interpretation is used to study the corresponding deformation problems that Paula Cohen, Yuri Manin and Don Zagier initiated. Two uniqueness results are established.

引用

页码：817 / 840

页数：24

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