1998/05/31 by Richard E. Borcherds
Mathematics · #math.QA
published as Duke Math J. Vol 100 No. 1 (1999), 139-165. · 25 pages, plain tex. Version 2 has a longer introduction and a few minor changes. To appear in Duke Math. J
arxiv created 1999/01/22 · arxiv updated 2009/11/30
The main result of this paper is the construction of ``good'' integral forms for the universal enveloping algebras of the fake monster Lie algebra and the Virasoro algebra. As an application we construct formal group laws over the integers for these Lie algebras. We also prove a form of the no-ghost theorem over the integers, and use this to verify an assumption used in the proof of the modular moonshine conjectures.