Heisenberg Groups, Theta Functions and the Weil Representation
Number Theory
2012-01-17 v2 Representation Theory
Abstract
In this manuscript, we develope the theory of harmonic analysis on the Heisenberg group G of high dimension. We investigate the theta functions and the Weil representation related to this Heisenberg group and describe the connection among them.
Cite
@article{arxiv.0905.1865,
title = {Heisenberg Groups, Theta Functions and the Weil Representation},
author = {Jae-Hyun Yang},
journal= {arXiv preprint arXiv:0905.1865},
year = {2012}
}
Comments
138 pages: correction of many typos