The Schroedinger-Weil Representation and Jacobi Forms of Half-Integral Weight
Number Theory
2012-02-14 v2 Representation Theory
Abstract
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 half plane and find covariant maps for the Schroedinger-Weil representation. Using these covariant maps, we construct Jacobi forms of half-integral weight with respect to an arithmetic subgroup of the Jacobi group.
Keywords
Cite
@article{arxiv.0908.0252,
title = {The Schroedinger-Weil Representation and Jacobi Forms of Half-Integral Weight},
author = {Jae-Hyun Yang},
journal= {arXiv preprint arXiv:0908.0252},
year = {2012}
}
Comments
25 pages ; correction of many typos ; change of some notations