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math.NTFeb 13, 2006
19
citations (OpenAlex)
authors
  • Jae-Hyun Yang
arXiv abstractPDF
paper

A Geometrical Theory of Jacobi Forms of Higher Degree

arXiv:math/0602267

Abstract

In this paper, we give a survey of a geometrical theory of Jacobi forms of higher degree. And we present some geometric results and discuss some geometric problems to be investigated in the future.

arXiv comment29 pages

Cited by in corpus (14)

  • Invariant metrics and Laplacians on Siegel-Jacobi space
  • A note on a fundamental domain for Siegel-Jacobi space
  • Invariant Differential Operators on Siegel-Jacobi Space
  • Remark on Harmonic Analysis on Siegel-Jacobi Space
  • Stable Schottky-Jacobi Forms
  • A note on invariant differential operators on Siegel-Jacobi space
  • The Weil Representations of the Jacobi Group
  • Harmonic Analysis on Homogeneous Spaces
  • A Partial Cayley Transform of Siegel-Jacobi Disk
  • The Method of Orbits for Real Lie Groups
  • Lattice representations of Heisenberg groups
  • Adjoint orbits of the Jacobi group
  • Stable Automorphic Forms for Semisimple Groups
  • Heisenberg Groups, Theta Functions and the Weil Representation
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