Hyper-Algebras of Vector-Valued Modular Forms

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Raum, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209849
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hyper-Algebras of Vector-Valued Modular Forms / M. Raum // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 24 назв. — англ.

We define graded hyper-algebras of vector-valued Siegel modular forms, which allow us to study tensor products of the latter. We also define vector-valued Hecke operators for Siegel modular forms at all places of ℚ, acting on these hyper-algebras. These definitions bridge the classical and represent...