5 Citations
Cusp forms on the exceptional group of type $E_{7}$
- MathematicsCompositio Mathematica
- 2015
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
- Mathematics
- 2009
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
- Mathematics
- 2015
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
- Mathematics
- 2015
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
- Mathematics
- 2009
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…