Vector valued hermitian and quaternionic modular forms
arXiv:1402.1929 · doi:10.1215/21562261-3157757
Abstract
Extending the method of the paper [FS3] 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, the other to the field of Gaussian numbers.) and one to a 6-dimensional case (a quaternionic modular group).