Jacobi Forms of Degree One and Weil Representations

Mathematics – Number Theory

Scientific paper

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Contribution for the Proceedings of the Conference Siegel Modular Forms and Abelian Varieties at Lake Hamana 2007

Scientific paper

We discuss the notion of Jacobi forms of degree one with matrix index, we
state dimension formulas, give explicit examples, and indicate how closely
their theory is connected to the theory of invariants of Weil representations
associated to finite quadratic modules.

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