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

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

2006-12-16

arxiv.org/abs/math/0612474v2

Proceedings of the 1995 symposium on number theory, geometry and related topics, edited by Jin-Woo Son and Jae-Hyun Yang, the

Mathematics

Number Theory

77 pages; correction of John McKay (p. 12)

Scientific paper

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.

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