• 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}
}
  • K. Takase
  • Published 1 December 1996
  • Mathematics
Cusp forms on the exceptional group of type $E_{7}$
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
The Schroedinger-Weil Representation and Jacobi Forms of Half-Integral Weight
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
COVARIANT MAPS FOR THE SCHRÖDINGER-WEIL REPRESENTATION
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
Ikeda type construction of cusp forms
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 WEIL REPRESENTATIONS OF THE JACOBI GROUP
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