Rankin-Cohen Deformations and Representation Theory

被引:0
|
作者
Yijun YAO [1 ]
机构
[1] School of Mathematical Sciences, Fudan University
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
收藏
页码:817 / 840
页数:24
相关论文
共 50 条
  • [1] Rankin-Cohen deformations and representation theory
    Yijun Yao
    Chinese Annals of Mathematics, Series B, 2014, 35 : 817 - 840
  • [2] Rankin-Cohen Deformations and Representation Theory
    Yao, Yijun
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2014, 35 (05) : 817 - 840
  • [3] A Survey on Rankin-Cohen Deformations
    Rochberg, Richard
    Tang, Xiang
    Yao, Yi-jun
    PERSPECTIVES ON NONCOMMUTATIVE GEOMETRY, 2011, 61 : 133 - +
  • [4] Rankin-Cohen brackets and invariant theory
    Choie, Y
    Mourrain, B
    Solé, P
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2001, 13 (01) : 5 - 13
  • [5] Rankin-Cohen Brackets and Invariant Theory
    Y. Choie
    B. Mourrain
    P. Solé
    Journal of Algebraic Combinatorics, 2001, 13 : 5 - 13
  • [6] Formal deformations of the algebra of Jacobi forms and Rankin-Cohen brackets
    Choie, Youngju
    Dumas, Francois
    Martin, Francois
    Royer, Emmanuel
    COMPTES RENDUS MATHEMATIQUE, 2021, 359 (04) : 505 - 521
  • [7] Rankin-Cohen brackets and associativity
    Pevzner, Michael
    LETTERS IN MATHEMATICAL PHYSICS, 2008, 85 (2-3) : 195 - 202
  • [8] Notes on Rankin-Cohen brackets
    Choie, Youngju
    Lee, Min Ho
    RAMANUJAN JOURNAL, 2011, 25 (01): : 141 - 147
  • [9] Rankin-Cohen brackets on supermodular forms
    Chouaibi, Sami
    Zbidi, Abdelwaheb
    JOURNAL OF GEOMETRY AND PHYSICS, 2019, 146
  • [10] Rankin-Cohen brackets on pseudodifferential operators
    Choie, YoungJu
    Lee, Min Ho
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (02) : 882 - 895