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.
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页码：817 / 840
页数：24
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