A note on a fundamental domain for Siegel-Jacobi space

Abstract

In this paper, we study a fundamental domain for the Siegel-Jacobi space $Sp(g,\mathbb{Z})⋉H_{\mathbb{Z}}^{(g,h)}\backslash {\mathbb{H}}_g\times {\mathbb{C}}^{(h,g)}$.

9 pages ; Changed title, Added contents

References in corpus (2)

• Invariant metrics and Laplacians on Siegel-Jacobi space
• A Geometrical Theory of Jacobi Forms of Higher Degree

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• The Schroedinger-Weil Representation and Jacobi Forms of Half-Integral Weight
• The Weil Representations of the Jacobi Group
• Theta Series Associated with the Weil-Schroedinger Representation
• A Partial Cayley Transform of Siegel-Jacobi Disk
• Adjoint orbits of the Jacobi group
• Polarized Real Tori
• Heisenberg Groups, Theta Functions and the Weil Representation
• Harmonic Analysis on Homogeneous Spaces
• Functional Equation for Theta Series