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Corpus ID: 118250443

On Two-fold Covering Group of Sp(n,R) and Automorphic Factor of Weight 1/2

@inproceedings{Takase1996OnTC,
title={On Two-fold Covering Group of Sp(n,R) and Automorphic Factor of Weight 1/2},
author={Koichi Y. Takase},
year={1996}
}

Let $\mathbf{G}$ be the connected reductive group of type $E_{7,3}$ over $\mathbb{Q}$ and $\mathfrak{T}$ be the corresponding symmetric domain in $\mathbb{C}^{27}$. Let… Expand

In this paper, we define the concept of Jacobi forms of half-integral weight using Takase's automorohic factor of weight 1/2 for a two-fold covering group of the symplectic group on the Siegel upper… Expand

In this paper, we construct the Schrodinger-Weil representation of the Jacobi group associated with a positive definite symmetric real matrix of degree m and find covariant maps for the… Expand

This is a survey of results on the construction of holomorphic cusp forms on tube domains originally initiated by Ikeda. Besides a survey it includes conjectures and possible applications of our work.

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 frame- work of quantum mechanics, geometric quantization… Expand