Integral forms in vertex operator algebras which are invariant under finite groups
Representation Theory
2012-01-18 v1 Group Theory
Rings and Algebras
Abstract
For certain vertex operator algebras (e.g., lattice type) and given finite group of automorphisms, we prove existence of a positive definite integral form invariant under the group. Applications include an integral form in the Moonshine VOA which is invariant under the Monster, and examples in other lattice type VOAs.
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@article{arxiv.1201.3411,
title = {Integral forms in vertex operator algebras which are invariant under finite groups},
author = {Robert L. Griess and Chongying Dong},
journal= {arXiv preprint arXiv:1201.3411},
year = {2012}
}
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