Modular Moonshine III

Details Modular Moonshine III Modular Moonshine III

1998-01-21

arxiv.org/abs/math/9801101v1

Duke math. journal vol. 93 No. 1 (1998) 129-154.

Mathematics

Quantum Algebra

17 pages plain tex. To be published in Duke Math J

Scientific paper

In this paper we complete the proof of Ryba's modular moonshine conjectures.
We do this by applying Hodge theory to the cohomology of the monster Lie
algebra over the ring of p-adic integers in order to calculate the Tate
cohomology groups of elements of the monster acting on the monster vertex
algebra.

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