The fake monster formal group

Details The fake monster formal group The fake monster formal group

1998-05-27

arxiv.org/abs/math/9805123v2

Duke Math J. Vol 100 No. 1 (1999), 139-165.

Mathematics

Quantum Algebra

25 pages, plain tex. Version 2 has a longer introduction and a few minor changes. To appear in Duke Math. J

Scientific paper

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.

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