English

Modular Moonshine III

Quantum Algebra 2007-05-23 v1 Group Theory

Abstract

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.

Keywords

Cite

@article{arxiv.math/9801101,
  title  = {Modular Moonshine III},
  author = {Richard E. Borcherds},
  journal= {arXiv preprint arXiv:math/9801101},
  year   = {2007}
}

Comments

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