Kac-Moody Algebras, the Monstrous Moonshine, Jacobi Forms and Infinite Products
Number Theory
2017-05-24 v3
Abstract
In this article, we discuss the relation between Kac-Moody algebras, the monstrous moonshine, Jacobi forms and infinite products. We also review Borcherds' solution of the Moonshine Conjecture and his work of constructing automorphic forms on the orthogonal group which can be written as infinite products.
Cite
@article{arxiv.math/0612474,
title = {Kac-Moody Algebras, the Monstrous Moonshine, Jacobi Forms and Infinite Products},
author = {Jae-Hyun Yang},
journal= {arXiv preprint arXiv:math/0612474},
year = {2017}
}
Comments
78 pages I added two more Dynkin diagrams in page 7. I corrected several typos