On liftings of modular forms and Weil representations

STROMBERG, FREDRIK

Abstract

We give an explicit construction of lifting maps from integral and half-integral modular forms to vector-valued modular forms for Weil representations associated with arbitrary isotropic subgroups and finite quadratic modules of even and odd signature. This construction provides an explicit and general extension of previous work by Scheithauer and Zhang.

Citation

STROMBERG, F. (2024). On liftings of modular forms and Weil representations. Forum Mathematicum, 36(1), 33-52. https://doi.org/10.1515/forum-2022-0353

• Journal Article Type: Article
• Acceptance Date: Aug 10, 2023
• Online Publication Date: Aug 31, 2023
• Publication Date: 2024
• Deposit Date: Feb 28, 2024
• Publicly Available Date: Feb 29, 2024
• Journal: Forum Mathematicum
• Print ISSN: 0933-7741
• Electronic ISSN: 1435-5337
• Publisher: De Gruyter
• Peer Reviewed: Peer Reviewed
• Volume: 36
• Issue: 1
• Pages: 33-52
• DOI: https://doi.org/10.1515/forum-2022-0353
• Keywords: Applied Mathematics; General Mathematics
• Public URL: https://nottingham-repository.worktribe.com/output/24813664
• Publisher URL: https://www.degruyter.com/document/doi/10.1515/forum-2022-0353/html