The Weil Representations of the Jacobi Group

Details The Weil Representations of the Jacobi Group The Weil Representations of the Jacobi Group

2009-07-26

arxiv.org/abs/0907.4526v2

Mathematics

Number Theory

30 pages : Correction of typos ; added reference

Scientific paper

The Jacobi group is the semi-direct product of the symplectic group and the Heisenberg group. The Jacobi group is an important object in the framework of quantum mechanics, geometric quantization and optics. In this paper, we study the Weil representations of the Jacobi group and their properties. We also provide their applications to the theory of automorphic forms on the Jacobi group and representation theory of the Jacobi group.

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