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arXiv:math/0612474 [math.NT]AbstractReferencesReviewsResources

Kac-Moody Algebras, the Monstrous Moonshine, Jacobi Forms and Infinite Products

Jae-Hyun Yang

Published 2006-12-16, updated 2017-05-23Version 3

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.

Comments: 78 pages I added two more Dynkin diagrams in page 7. I corrected several typos
Journal: Proceedings of the 1995 symposium on number theory, geometry and related topics, edited by Jin-Woo Son and Jae-Hyun Yang, the Pyungsan Institute for Mathematical Sciences (1996), pp. 13-82
Categories: math.NT
Subjects: 11F30, 11F55, 17B65, 17B67, 20C34, 20D08
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