Invariant ring of Clifford-Weil group, and Jacobi forms over totally real field. (English) Zbl 1270.11050
Rodier, François (ed.) et al., Arithmetics, geometry and coding theory (AGCT 2005). Papers of the conference held at CIRM, Marseilles, France, September 26–30, 2005. Paris: Société Mathématique de France (ISBN 978-2-85629-279-2/pbk). Séminaires et Congrès 21, 1-16 (2009).
Summary: In this paper we show that the invariant polynomial ring of the associated Clifford-Weil group can be embedded into the ring of Jacobi modular forms over the totally real field, so, therefore, that of Hilbert modular forms over the totally real field.
For the entire collection see [Zbl 1202.11005].
For the entire collection see [Zbl 1202.11005].
MSC:
| 11F41 | Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces |
| 11F50 | Jacobi forms |
| 11E10 | Forms over real fields |
| 11T71 | Algebraic coding theory; cryptography (number-theoretic aspects) |
| 15A66 | Clifford algebras, spinors |
