Vector-valued Hermitian and quaternionic modular forms

被引:1
|
作者
Freitag, Eberhard [1 ]
Manni, Riccardo Salvati Salvati [2 ]
机构
[1] Math Inst, D-69120 Heidelberg, Germany
[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy
关键词
LOW DIMENSION; VARIETIES;
D O I
10.1215/21562261-3157757
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Extending previous methods, we prove three structure theorems for vector-valued modular forms, where two correspond to 4-dimensional cases (two Hermitian modular groups, one belonging to the field of Eisenstein numbers and the other to the field of Gaussian numbers) and one to a 6-dimensional case (a quaternionic modular group).
引用
收藏
页码:819 / 836
页数:18
相关论文
共 50 条
  • [1] Vector-valued Modular Forms
    Bantay, P.
    [J]. VERTEX OPERATOR ALGEBRAS AND RELATED AREAS, 2009, 497 : 19 - 31
  • [2] Construction of vector-valued modular integrals and vector-valued mock modular forms
    Gimenez, Jose
    Muhlenbruch, Tobias
    Raji, Wissam
    [J]. RAMANUJAN JOURNAL, 2016, 41 (1-3): : 51 - 114
  • [3] Construction of vector-valued modular integrals and vector-valued mock modular forms
    Jose Gimenez
    Tobias Mühlenbruch
    Wissam Raji
    [J]. The Ramanujan Journal, 2016, 41 : 51 - 114
  • [4] Logarithmic vector-valued modular forms
    Knopp, Marvin
    Mason, Geoffrey
    [J]. ACTA ARITHMETICA, 2011, 147 (03) : 261 - 282
  • [5] Modular flavor symmetry and vector-valued modular forms
    Liu, Xiang-Gan
    Ding, Gui-Jun
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2022, 2022 (03)
  • [6] Modular flavor symmetry and vector-valued modular forms
    Xiang-Gan Liu
    Gui-Jun Ding
    [J]. Journal of High Energy Physics, 2022
  • [7] Hecke Operators on Vector-Valued Modular Forms
    Bouchard, Vincent
    Creutzig, Thomas
    Joshi, Aniket
    [J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2019, 15
  • [8] On vector-valued modular forms and their Fourier coefficients
    Knopp, M
    Mason, G
    [J]. ACTA ARITHMETICA, 2003, 110 (02) : 117 - 124
  • [9] On the structure of modules of vector-valued modular forms
    Franc, Cameron
    Mason, Geoffrey
    [J]. RAMANUJAN JOURNAL, 2018, 47 (01): : 117 - 139
  • [10] Equivariant functions and vector-valued modular forms
    Saber, Hicham
    Sebbar, Abdellah
    [J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2014, 10 (04) : 949 - 954